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Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.16730","authors":"Po-Ting Lin","title":"Characterising Per-Pixel Rendering Difficulty by Transport Mechanism","url":"https://arxiv.org/abs/2608.16730v2","version":2},"blocks":[{"bbox":[71.64,33.54,241.5,9.96],"bbox_pdf"... | CC-BY-4.0 | assets/5224ac5fab99582fb1f887aa8f315eb9b5b383eb59eb8ae7f774bfa571037f87.pdf | 5224ac5fab99582fb1f887aa8f315eb9b5b383eb59eb8ae7f774bfa571037f87 | arxiv:2608.16730 | page | 15 | {"arxiv_id":"2608.16730","authors":"Po-Ting Lin","title":"Characterising Per-Pixel Rendering Difficulty by Transport Mechanism","url":"https://arxiv.org/abs/2608.16730v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.16730","authors":"Po-Ting Lin","title":"Characterising Per-Pixel Rendering Difficulty by Transport Mechanism","url":"https://arxiv.org/abs/2608.16730v2","version":2},"blocks":[{"bbox":[71.64,33.54,241.5,9.96],"bbox_pdf"... | CC-BY-4.0 | assets/768f6abeddd32f080b7a3a40da33a4036d7e108d1119d3b4dcc762543271810a.pdf | 768f6abeddd32f080b7a3a40da33a4036d7e108d1119d3b4dcc762543271810a | arxiv:2608.16730 | page | 16 | {"arxiv_id":"2608.16730","authors":"Po-Ting Lin","title":"Characterising Per-Pixel Rendering Difficulty by Transport Mechanism","url":"https://arxiv.org/abs/2608.16730v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.16730","authors":"Po-Ting Lin","title":"Characterising Per-Pixel Rendering Difficulty by Transport Mechanism","url":"https://arxiv.org/abs/2608.16730v2","version":2},"blocks":[{"bbox":[71.64,33.54,241.5,9.96],"bbox_pdf"... | CC-BY-4.0 | assets/944d8981b947ae63fd4e3b031a6ae7d701a475651c892abcd84421af0b5b27f9.pdf | 944d8981b947ae63fd4e3b031a6ae7d701a475651c892abcd84421af0b5b27f9 | arxiv:2608.16730 | page | 18 | {"arxiv_id":"2608.16730","authors":"Po-Ting Lin","title":"Characterising Per-Pixel Rendering Difficulty by Transport Mechanism","url":"https://arxiv.org/abs/2608.16730v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.16730","authors":"Po-Ting Lin","title":"Characterising Per-Pixel Rendering Difficulty by Transport Mechanism","url":"https://arxiv.org/abs/2608.16730v2","version":2},"blocks":[{"bbox":[71.64,33.54,241.5,9.96],"bbox_pdf"... | CC-BY-4.0 | assets/0061c513023281ba613277e2fcb78959f2f69ff0ec876116f2e6bb4c9cf8b31c.pdf | 0061c513023281ba613277e2fcb78959f2f69ff0ec876116f2e6bb4c9cf8b31c | arxiv:2608.16730 | page | 19 | {"arxiv_id":"2608.16730","authors":"Po-Ting Lin","title":"Characterising Per-Pixel Rendering Difficulty by Transport Mechanism","url":"https://arxiv.org/abs/2608.16730v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.16730","authors":"Po-Ting Lin","title":"Characterising Per-Pixel Rendering Difficulty by Transport Mechanism","url":"https://arxiv.org/abs/2608.16730v2","version":2},"blocks":[{"bbox":[71.64,33.54,241.5,9.96],"bbox_pdf"... | CC-BY-4.0 | assets/a05fce058f91012458fad1054d777921305a4766977b89134cab0d010f85de95.pdf | a05fce058f91012458fad1054d777921305a4766977b89134cab0d010f85de95 | arxiv:2608.16730 | page | 21 | {"arxiv_id":"2608.16730","authors":"Po-Ting Lin","title":"Characterising Per-Pixel Rendering Difficulty by Transport Mechanism","url":"https://arxiv.org/abs/2608.16730v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.16730","authors":"Po-Ting Lin","title":"Characterising Per-Pixel Rendering Difficulty by Transport Mechanism","url":"https://arxiv.org/abs/2608.16730v2","version":2},"blocks":[{"bbox":[71.64,33.54,241.5,9.96],"bbox_pdf"... | CC-BY-4.0 | assets/8e6a665259e24edbaad7cd0b77ed9493f0fb8a663898ee39630afc55a9f5e6ec.pdf | 8e6a665259e24edbaad7cd0b77ed9493f0fb8a663898ee39630afc55a9f5e6ec | arxiv:2608.16730 | page | 22 | {"arxiv_id":"2608.16730","authors":"Po-Ting Lin","title":"Characterising Per-Pixel Rendering Difficulty by Transport Mechanism","url":"https://arxiv.org/abs/2608.16730v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.16730","authors":"Po-Ting Lin","title":"Characterising Per-Pixel Rendering Difficulty by Transport Mechanism","url":"https://arxiv.org/abs/2608.16730v2","version":2},"blocks":[{"bbox":[71.64,33.54,241.5,9.96],"bbox_pdf"... | CC-BY-4.0 | assets/ee18cfc031b92c7db7887703bf3ea57413b348e6b170a62afc6474beecc36054.pdf | ee18cfc031b92c7db7887703bf3ea57413b348e6b170a62afc6474beecc36054 | arxiv:2608.16730 | page | 25 | {"arxiv_id":"2608.16730","authors":"Po-Ting Lin","title":"Characterising Per-Pixel Rendering Difficulty by Transport Mechanism","url":"https://arxiv.org/abs/2608.16730v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.16730","authors":"Po-Ting Lin","title":"Characterising Per-Pixel Rendering Difficulty by Transport Mechanism","url":"https://arxiv.org/abs/2608.16730v2","version":2},"blocks":[{"bbox":[71.64,33.54,241.5,9.96],"bbox_pdf"... | CC-BY-4.0 | assets/7f467e4514658d69c6573aec2f020fdb50b3b7f323046e2fa82df4835d7a5ecf.pdf | 7f467e4514658d69c6573aec2f020fdb50b3b7f323046e2fa82df4835d7a5ecf | arxiv:2608.16730 | page | 27 | {"arxiv_id":"2608.16730","authors":"Po-Ting Lin","title":"Characterising Per-Pixel Rendering Difficulty by Transport Mechanism","url":"https://arxiv.org/abs/2608.16730v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.16730","authors":"Po-Ting Lin","title":"Characterising Per-Pixel Rendering Difficulty by Transport Mechanism","url":"https://arxiv.org/abs/2608.16730v2","version":2},"blocks":[{"bbox":[71.64,33.54,241.5,9.96],"bbox_pdf"... | CC-BY-4.0 | assets/240b4fdffd053374624fc38938302cb696e2678f6c75c4097dbba4f701ca76a9.pdf | 240b4fdffd053374624fc38938302cb696e2678f6c75c4097dbba4f701ca76a9 | arxiv:2608.16730 | page | 28 | {"arxiv_id":"2608.16730","authors":"Po-Ting Lin","title":"Characterising Per-Pixel Rendering Difficulty by Transport Mechanism","url":"https://arxiv.org/abs/2608.16730v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.16730","authors":"Po-Ting Lin","title":"Characterising Per-Pixel Rendering Difficulty by Transport Mechanism","url":"https://arxiv.org/abs/2608.16730v2","version":2},"blocks":[{"bbox":[71.64,33.54,241.5,9.96],"bbox_pdf"... | CC-BY-4.0 | assets/901f15d74fbed090213a376dca7b39de33f40520b181525db1ac97c93b7494b5.pdf | 901f15d74fbed090213a376dca7b39de33f40520b181525db1ac97c93b7494b5 | arxiv:2608.16730 | page | 30 | {"arxiv_id":"2608.16730","authors":"Po-Ting Lin","title":"Characterising Per-Pixel Rendering Difficulty by Transport Mechanism","url":"https://arxiv.org/abs/2608.16730v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.16730","authors":"Po-Ting Lin","title":"Characterising Per-Pixel Rendering Difficulty by Transport Mechanism","url":"https://arxiv.org/abs/2608.16730v2","version":2},"blocks":[{"bbox":[71.64,33.54,241.5,9.96],"bbox_pdf"... | CC-BY-4.0 | assets/d403f0991e0ed42221921c0152f3af0b7cfd18631d989a3b5edcbab32cb6b7f1.pdf | d403f0991e0ed42221921c0152f3af0b7cfd18631d989a3b5edcbab32cb6b7f1 | arxiv:2608.16730 | page | 31 | {"arxiv_id":"2608.16730","authors":"Po-Ting Lin","title":"Characterising Per-Pixel Rendering Difficulty by Transport Mechanism","url":"https://arxiv.org/abs/2608.16730v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1},"b... | CC-BY-4.0 | assets/b1df058fdb807a867bb4e868918b448d98737774316cc3dad798723d2422a605.pdf | b1df058fdb807a867bb4e868918b448d98737774316cc3dad798723d2422a605 | arxiv:2608.16750 | page | 2 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1},"b... | CC-BY-4.0 | assets/0397a9499d4d715e8a5e689e96302ed33f6d5c55f09e0f6ce50a4dadf92cefb8.pdf | 0397a9499d4d715e8a5e689e96302ed33f6d5c55f09e0f6ce50a4dadf92cefb8 | arxiv:2608.16750 | page | 3 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1},"b... | CC-BY-4.0 | assets/033f0f3e0780fe98cdb6a7d88cdb50a843fc12c1aca171e34e280fcff3bc0d48.pdf | 033f0f3e0780fe98cdb6a7d88cdb50a843fc12c1aca171e34e280fcff3bc0d48 | arxiv:2608.16750 | page | 4 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1},"b... | CC-BY-4.0 | assets/479189884cc4dc10b2288291a1bc8c32dafbb15352d634aafe1cf20198edb18f.pdf | 479189884cc4dc10b2288291a1bc8c32dafbb15352d634aafe1cf20198edb18f | arxiv:2608.16750 | page | 5 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[143.17,90.25,397.96,157.71],"bbox_pdf":[143.17,544.04,541.13,701.75],"fragments":[{"bbox_pdf":[143.17,544.04,541.13,701.75],"words":[2101,2102,2103,2104,2105,2106,2107,2108,2109,2110,2111,2112,2113,2114,2115,2116,2117,2118,2119,2120,2121,2122,2123,2124,2125,2126,2127,2128,2129,2130,2131,2132,2133,2134... | CC-BY-4.0 | assets/479189884cc4dc10b2288291a1bc8c32dafbb15352d634aafe1cf20198edb18f.pdf | 479189884cc4dc10b2288291a1bc8c32dafbb15352d634aafe1cf20198edb18f | arxiv:2608.16750 | formula | 5 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[260.98,559.78,280.15,71.4],"bbox_pdf":[260.98,160.82,541.13,232.22],"fragments":[{"bbox_pdf":[260.98,160.82,541.13,232.22],"words":[2457,2458,2459,2460,2461,2462,2463,2464,2465,2466,2467,2468,2469,2470,2471]}],"html":null,"kind":"paragraph","latex":"\\begin{aligned} \\displaystyle p_{I}=\\sum_{l}\\phi... | CC-BY-4.0 | assets/479189884cc4dc10b2288291a1bc8c32dafbb15352d634aafe1cf20198edb18f.pdf | 479189884cc4dc10b2288291a1bc8c32dafbb15352d634aafe1cf20198edb18f | arxiv:2608.16750 | formula | 5 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[228.97,709.18,312.16,13.75],"bbox_pdf":[228.97,69.07,541.13,82.82],"fragments":[{"bbox_pdf":[228.97,69.07,541.13,82.82],"words":[2539,2540,2541,2542,2543,2544,2545,2546,2547,2548,2549]}],"html":null,"kind":"paragraph","latex":"p_{l}\\left(\\rho_{l},e_{l}\\right)=\\left(\\gamma_{l}-1\\right)\\rho_{l}e_... | CC-BY-4.0 | assets/479189884cc4dc10b2288291a1bc8c32dafbb15352d634aafe1cf20198edb18f.pdf | 479189884cc4dc10b2288291a1bc8c32dafbb15352d634aafe1cf20198edb18f | arxiv:2608.16750 | formula | 5 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1},"b... | CC-BY-4.0 | assets/83c70c9c0b68b3b06d1db59282666947114c2b16a1f67ecd72fd1537ceb8dc89.pdf | 83c70c9c0b68b3b06d1db59282666947114c2b16a1f67ecd72fd1537ceb8dc89 | arxiv:2608.16750 | page | 7 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[115.07,341.48,426.07,62.25],"bbox_pdf":[115.07,388.28,541.13,450.52],"fragments":[{"bbox_pdf":[115.07,388.28,541.13,450.52],"words":[3196,3197,3198,3199,3200,3201,3202,3203,3204,3205,3206,3207,3208,3209,3210,3211,3212,3213,3214,3215,3216,3217,3218,3219,3220,3221,3222,3223,3224,3225,3226,3227,3228,3229... | CC-BY-4.0 | assets/83c70c9c0b68b3b06d1db59282666947114c2b16a1f67ecd72fd1537ceb8dc89.pdf | 83c70c9c0b68b3b06d1db59282666947114c2b16a1f67ecd72fd1537ceb8dc89 | arxiv:2608.16750 | formula | 7 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1},"b... | CC-BY-4.0 | assets/b1636787139900ea481ac19fad23d2751e1a9b78987fb10a04a85a44849b4328.pdf | b1636787139900ea481ac19fad23d2751e1a9b78987fb10a04a85a44849b4328 | arxiv:2608.16750 | page | 8 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[117.03,113.65,424.11,71.24],"bbox_pdf":[117.03,607.11,541.13,678.35],"fragments":[{"bbox_pdf":[117.03,607.11,541.13,678.35],"words":[3568,3569,3571,3572,3573,3574,3575,3576,3577,3578,3579,3580,3581,3582,3583,3584,3585,3586,3587,3588,3589,3590,3591,3592,3593,3594,3595,3596,3597,3598,3599,3600,3601,3602... | CC-BY-4.0 | assets/b1636787139900ea481ac19fad23d2751e1a9b78987fb10a04a85a44849b4328.pdf | b1636787139900ea481ac19fad23d2751e1a9b78987fb10a04a85a44849b4328 | arxiv:2608.16750 | formula | 8 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[204.33,328.99,336.8,30.04],"bbox_pdf":[204.33,432.97,541.13,463.01],"fragments":[{"bbox_pdf":[204.33,432.97,541.13,463.01],"words":[3747,3748,3749,3750,3751,3752,3753,3754,3756,3757,3758,3759]}],"html":null,"kind":"paragraph","latex":"\\frac{\\partial}{\\partial t}\\left(\\phi_{l}\\rho_{l}\\right)+\\f... | CC-BY-4.0 | assets/b1636787139900ea481ac19fad23d2751e1a9b78987fb10a04a85a44849b4328.pdf | b1636787139900ea481ac19fad23d2751e1a9b78987fb10a04a85a44849b4328 | arxiv:2608.16750 | formula | 8 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[203.81,416.51,337.32,30.04],"bbox_pdf":[203.81,345.45,541.13,375.49],"fragments":[{"bbox_pdf":[203.81,345.45,541.13,375.49],"words":[3804,3805,3806,3807,3808,3809,3810,3811,3812,3813,3814,3816,3817,3818,3819]}],"html":null,"kind":"paragraph","latex":"\\rho_{0,l}\\left[\\frac{\\partial\\phi_{l}}{\\part... | CC-BY-4.0 | assets/b1636787139900ea481ac19fad23d2751e1a9b78987fb10a04a85a44849b4328.pdf | b1636787139900ea481ac19fad23d2751e1a9b78987fb10a04a85a44849b4328 | arxiv:2608.16750 | formula | 8 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[214.93,472.52,326.2,30.04],"bbox_pdf":[214.93,289.44,541.13,319.48],"fragments":[{"bbox_pdf":[214.93,289.44,541.13,319.48],"words":[3825,3826,3827,3828,3829,3830,3831,3832,3833,3834,3835,3836,3837,3838,3839]}],"html":null,"kind":"paragraph","latex":"\\frac{\\partial\\phi_{l}}{\\partial t}+\\frac{\\par... | CC-BY-4.0 | assets/b1636787139900ea481ac19fad23d2751e1a9b78987fb10a04a85a44849b4328.pdf | b1636787139900ea481ac19fad23d2751e1a9b78987fb10a04a85a44849b4328 | arxiv:2608.16750 | formula | 8 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[212.89,624.92,328.25,30.04],"bbox_pdf":[212.89,137.04,541.14,167.08],"fragments":[{"bbox_pdf":[212.89,137.04,541.14,167.08],"words":[3930,3931,3932,3933,3934,3935,3936,3937,3938,3940,3941,3942,3943]}],"html":null,"kind":"paragraph","latex":"\\frac{\\partial\\rho}{\\partial t}+\\frac{\\partial}{\\parti... | CC-BY-4.0 | assets/b1636787139900ea481ac19fad23d2751e1a9b78987fb10a04a85a44849b4328.pdf | b1636787139900ea481ac19fad23d2751e1a9b78987fb10a04a85a44849b4328 | arxiv:2608.16750 | formula | 8 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[128.33,695.52,412.81,30.04],"bbox_pdf":[128.33,66.44,541.14,96.48],"fragments":[{"bbox_pdf":[128.33,66.44,541.14,96.48],"words":[3970,3975,3976,3977,3978,3979,3980,3981,3982,3983,3984,3985,3986,3987,3988,3989,3990,3991,3992,3993,3994,3995,3996,3997,3998,3999]}],"html":null,"kind":"paragraph","latex":"... | CC-BY-4.0 | assets/b1636787139900ea481ac19fad23d2751e1a9b78987fb10a04a85a44849b4328.pdf | b1636787139900ea481ac19fad23d2751e1a9b78987fb10a04a85a44849b4328 | arxiv:2608.16750 | formula | 8 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1},"b... | CC-BY-4.0 | assets/0ee9a1eef97b8abbce8b52eda4f90e1cc4f9817d5ea481ed39592e4cca9f0254.pdf | 0ee9a1eef97b8abbce8b52eda4f90e1cc4f9817d5ea481ed39592e4cca9f0254 | arxiv:2608.16750 | page | 9 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[158.84,179.89,382.29,30.04],"bbox_pdf":[158.84,582.07,541.13,612.11],"fragments":[{"bbox_pdf":[158.84,582.07,541.13,612.11],"words":[4079,4080,4081,4082,4083,4084,4085,4086,4087,4088,4090,4091,4092,4093]}],"html":null,"kind":"paragraph","latex":"\\frac{\\partial}{\\partial t}\\left(\\phi_{l}\\rho_{l}u... | CC-BY-4.0 | assets/0ee9a1eef97b8abbce8b52eda4f90e1cc4f9817d5ea481ed39592e4cca9f0254.pdf | 0ee9a1eef97b8abbce8b52eda4f90e1cc4f9817d5ea481ed39592e4cca9f0254 | arxiv:2608.16750 | formula | 9 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[114.56,252.37,426.57,158.29],"bbox_pdf":[114.56,381.34,541.13,539.63],"fragments":[{"bbox_pdf":[114.56,381.34,541.13,539.63],"words":[4112,4113,4114,4115,4116,4117,4118,4119,4120,4121,4122,4123,4124,4125,4126,4127,4128,4129,4130,4131,4132,4133,4134,4135,4136,4137,4138,4139,4140,4141,4142,4143,4144,414... | CC-BY-4.0 | assets/0ee9a1eef97b8abbce8b52eda4f90e1cc4f9817d5ea481ed39592e4cca9f0254.pdf | 0ee9a1eef97b8abbce8b52eda4f90e1cc4f9817d5ea481ed39592e4cca9f0254 | arxiv:2608.16750 | formula | 9 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[147.36,450.11,393.77,30.04],"bbox_pdf":[147.36,311.85,541.14,341.89],"fragments":[{"bbox_pdf":[147.36,311.85,541.14,341.89],"words":[4190,4191,4192,4193,4194,4195,4196,4197,4198,4199,4200,4201,4202,4203,4204,4205,4206]}],"html":null,"kind":"paragraph","latex":"\\frac{\\partial}{\\partial t}\\left(\\ph... | CC-BY-4.0 | assets/0ee9a1eef97b8abbce8b52eda4f90e1cc4f9817d5ea481ed39592e4cca9f0254.pdf | 0ee9a1eef97b8abbce8b52eda4f90e1cc4f9817d5ea481ed39592e4cca9f0254 | arxiv:2608.16750 | formula | 9 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[90.04,620.06,451.09,30.04],"bbox_pdf":[90.04,141.9,541.13,171.94],"fragments":[{"bbox_pdf":[90.04,141.9,541.13,171.94],"words":[4309,4310,4311,4312,4313,4314,4315,4316,4317,4318,4319,4320,4321,4322,4323,4324,4325,4326,4327,4328,4329,4330]}],"html":null,"kind":"paragraph","latex":"\\frac{\\partial}{\\p... | CC-BY-4.0 | assets/0ee9a1eef97b8abbce8b52eda4f90e1cc4f9817d5ea481ed39592e4cca9f0254.pdf | 0ee9a1eef97b8abbce8b52eda4f90e1cc4f9817d5ea481ed39592e4cca9f0254 | arxiv:2608.16750 | formula | 9 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[132.39,692.54,408.74,30.04],"bbox_pdf":[132.39,69.43,541.13,99.46],"fragments":[{"bbox_pdf":[132.39,69.43,541.13,99.46],"words":[4353,4354,4355,4356,4357,4358,4359,4360,4361,4362,4363,4364,4365,4366,4368,4369,4370,4371]}],"html":null,"kind":"paragraph","latex":"\\frac{\\partial}{\\partial t}\\left(\\r... | CC-BY-4.0 | assets/0ee9a1eef97b8abbce8b52eda4f90e1cc4f9817d5ea481ed39592e4cca9f0254.pdf | 0ee9a1eef97b8abbce8b52eda4f90e1cc4f9817d5ea481ed39592e4cca9f0254 | arxiv:2608.16750 | formula | 9 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1},"b... | CC-BY-4.0 | assets/ec5daac2c1ad38df4374ea458c39cff55f7f7817e72a6c565a98660de43904a9.pdf | ec5daac2c1ad38df4374ea458c39cff55f7f7817e72a6c565a98660de43904a9 | arxiv:2608.16750 | page | 10 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[208.97,251.24,332.16,30.04],"bbox_pdf":[208.97,510.72,541.13,540.76],"fragments":[{"bbox_pdf":[208.97,510.72,541.13,540.76],"words":[4492,4493,4494,4496,4498,4499,4502,4503,4504,4505,4506,4507,4508,4509]}],"html":null,"kind":"paragraph","latex":"\\frac{D_{l}}{Dt}(\\cdot)=\\frac{\\partial}{\\partial t}... | CC-BY-4.0 | assets/ec5daac2c1ad38df4374ea458c39cff55f7f7817e72a6c565a98660de43904a9.pdf | ec5daac2c1ad38df4374ea458c39cff55f7f7817e72a6c565a98660de43904a9 | arxiv:2608.16750 | formula | 10 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[97.88,368.36,443.25,30.04],"bbox_pdf":[97.88,393.6,541.13,423.64],"fragments":[{"bbox_pdf":[97.88,393.6,541.13,423.64],"words":[4571,4572,4573,4574,4575,4576,4577,4578,4579,4580,4581,4582,4583,4584,4585,4586,4587,4588,4589,4590,4591]}],"html":null,"kind":"paragraph","latex":"\\frac{\\partial}{\\partia... | CC-BY-4.0 | assets/ec5daac2c1ad38df4374ea458c39cff55f7f7817e72a6c565a98660de43904a9.pdf | ec5daac2c1ad38df4374ea458c39cff55f7f7817e72a6c565a98660de43904a9 | arxiv:2608.16750 | formula | 10 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[122.32,430.02,418.82,61.96],"bbox_pdf":[122.32,300.02,541.13,361.98],"fragments":[{"bbox_pdf":[122.32,300.02,541.13,361.98],"words":[4603,4604,4605,4606,4607,4608,4609,4610,4611,4612,4613,4614,4615,4616,4617,4618,4619,4620,4621,4622,4623,4624,4625,4626,4627,4628,4629,4630]}],"html":null,"kind":"paragr... | CC-BY-4.0 | assets/ec5daac2c1ad38df4374ea458c39cff55f7f7817e72a6c565a98660de43904a9.pdf | ec5daac2c1ad38df4374ea458c39cff55f7f7817e72a6c565a98660de43904a9 | arxiv:2608.16750 | formula | 10 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[120.71,523.24,420.42,61.96],"bbox_pdf":[120.71,206.8,541.13,268.76],"fragments":[{"bbox_pdf":[120.71,206.8,541.13,268.76],"words":[4640,4641,4642,4643,4644,4645,4646,4647,4648,4649,4650,4651,4652,4653,4654,4655,4656,4657,4658,4659,4660,4661,4662,4663]}],"html":null,"kind":"paragraph","latex":"\\begin{... | CC-BY-4.0 | assets/ec5daac2c1ad38df4374ea458c39cff55f7f7817e72a6c565a98660de43904a9.pdf | ec5daac2c1ad38df4374ea458c39cff55f7f7817e72a6c565a98660de43904a9 | arxiv:2608.16750 | formula | 10 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[221.52,644.7,319.61,30.04],"bbox_pdf":[221.52,117.27,541.13,147.3],"fragments":[{"bbox_pdf":[221.52,117.27,541.13,147.3],"words":[4706,4707,4708,4709,4710,4711,4712,4713,4714,4715,4716,4717]}],"html":null,"kind":"paragraph","latex":"\\frac{D_{l}}{Dt}\\left(\\phi_{l}\\rho_{l}e_{l}\\right)+\\phi_{l}\\rh... | CC-BY-4.0 | assets/ec5daac2c1ad38df4374ea458c39cff55f7f7817e72a6c565a98660de43904a9.pdf | ec5daac2c1ad38df4374ea458c39cff55f7f7817e72a6c565a98660de43904a9 | arxiv:2608.16750 | formula | 10 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[179.26,709.18,361.88,13.75],"bbox_pdf":[179.26,69.07,541.14,82.82],"fragments":[{"bbox_pdf":[179.26,69.07,541.14,82.82],"words":[4728,4729,4730,4731,4732,4733,4734,4735,4736,4737,4738,4739,4740,4741,4743]}],"html":null,"kind":"paragraph","latex":"\\text{d}\\left(\\rho_{l}e_{l}\\right)=\\rho_{l}\\text{... | CC-BY-4.0 | assets/ec5daac2c1ad38df4374ea458c39cff55f7f7817e72a6c565a98660de43904a9.pdf | ec5daac2c1ad38df4374ea458c39cff55f7f7817e72a6c565a98660de43904a9 | arxiv:2608.16750 | formula | 10 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1},"b... | CC-BY-4.0 | assets/7ff16cf7c49acd87a28ee2c2ad42d5b20b6bdb4835a4941f71ccf1847ea887e0.pdf | 7ff16cf7c49acd87a28ee2c2ad42d5b20b6bdb4835a4941f71ccf1847ea887e0 | arxiv:2608.16750 | page | 11 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[159.55,94.9,381.58,30.04],"bbox_pdf":[159.55,667.06,541.13,697.1],"fragments":[{"bbox_pdf":[159.55,667.06,541.13,697.1],"words":[4765,4766,4767,4768,4769,4770,4771,4772,4773,4774,4775,4776,4777,4778,4779,4780,4781,4782,4783,4784,4785]}],"html":null,"kind":"paragraph","latex":"\\phi_{l}\\left(\\rho_{l}... | CC-BY-4.0 | assets/7ff16cf7c49acd87a28ee2c2ad42d5b20b6bdb4835a4941f71ccf1847ea887e0.pdf | 7ff16cf7c49acd87a28ee2c2ad42d5b20b6bdb4835a4941f71ccf1847ea887e0 | arxiv:2608.16750 | formula | 11 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[150.83,155.5,390.31,30.04],"bbox_pdf":[150.83,606.46,541.14,636.5],"fragments":[{"bbox_pdf":[150.83,606.46,541.14,636.5],"words":[4800,4801,4802,4803,4804,4805,4806,4807,4808,4809,4810,4811,4812,4813,4814,4815,4816,4817,4819,4820,4821,4822,4823,4824,4825]}],"html":null,"kind":"paragraph","latex":"\\ph... | CC-BY-4.0 | assets/7ff16cf7c49acd87a28ee2c2ad42d5b20b6bdb4835a4941f71ccf1847ea887e0.pdf | 7ff16cf7c49acd87a28ee2c2ad42d5b20b6bdb4835a4941f71ccf1847ea887e0 | arxiv:2608.16750 | formula | 11 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[189.11,234.41,352.03,30.04],"bbox_pdf":[189.11,527.55,541.14,557.59],"fragments":[{"bbox_pdf":[189.11,527.55,541.14,557.59],"words":[4857,4858,4859,4860,4861,4862,4863,4864,4865,4866,4867,4868,4869,4870,4871,4872,4873]}],"html":null,"kind":"paragraph","latex":"\\phi_{l}\\rho_{l}T_{l}\\frac{D_{l}s_{l}}... | CC-BY-4.0 | assets/7ff16cf7c49acd87a28ee2c2ad42d5b20b6bdb4835a4941f71ccf1847ea887e0.pdf | 7ff16cf7c49acd87a28ee2c2ad42d5b20b6bdb4835a4941f71ccf1847ea887e0 | arxiv:2608.16750 | formula | 11 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[140.33,313.32,400.81,30.04],"bbox_pdf":[140.33,448.64,541.13,478.68],"fragments":[{"bbox_pdf":[140.33,448.64,541.13,478.68],"words":[4898,4899,4900,4901,4902,4903,4904,4905,4906,4907,4908,4909,4910,4911,4912,4914,4915,4916,4917,4918,4919]}],"html":null,"kind":"paragraph","latex":"\\frac{\\partial}{\\p... | CC-BY-4.0 | assets/7ff16cf7c49acd87a28ee2c2ad42d5b20b6bdb4835a4941f71ccf1847ea887e0.pdf | 7ff16cf7c49acd87a28ee2c2ad42d5b20b6bdb4835a4941f71ccf1847ea887e0 | arxiv:2608.16750 | formula | 11 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[78.04,410.99,463.1,30.04],"bbox_pdf":[78.04,350.97,541.14,381.01],"fragments":[{"bbox_pdf":[78.04,350.97,541.14,381.01],"words":[4950,4951,4952,4953,4954,4955,4956,4957,4958,4959,4960,4961,4962,4963,4964,4965,4966,4968,4969,4970,4971,4972,4973,4974]}],"html":null,"kind":"paragraph","latex":"\\frac{\\p... | CC-BY-4.0 | assets/7ff16cf7c49acd87a28ee2c2ad42d5b20b6bdb4835a4941f71ccf1847ea887e0.pdf | 7ff16cf7c49acd87a28ee2c2ad42d5b20b6bdb4835a4941f71ccf1847ea887e0 | arxiv:2608.16750 | formula | 11 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[98.89,478.74,442.25,30.04],"bbox_pdf":[98.89,283.23,541.14,313.26],"fragments":[{"bbox_pdf":[98.89,283.23,541.14,313.26],"words":[4981,4982,4983,4984,4985,4986,4987,4988,4989,4990,4991,4992,4993,4994,4995,4996,4997,4998,4999,5000,5001,5002,5003,5005,5006,5007,5008,5009,5010,5011]}],"html":null,"kind":... | CC-BY-4.0 | assets/7ff16cf7c49acd87a28ee2c2ad42d5b20b6bdb4835a4941f71ccf1847ea887e0.pdf | 7ff16cf7c49acd87a28ee2c2ad42d5b20b6bdb4835a4941f71ccf1847ea887e0 | arxiv:2608.16750 | formula | 11 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[131.32,619.08,409.81,30.04],"bbox_pdf":[131.32,142.88,541.13,172.92],"fragments":[{"bbox_pdf":[131.32,142.88,541.13,172.92],"words":[5097,5098,5099,5100,5101,5102,5103,5104,5105,5106,5107,5108,5109,5111,5112,5113,5114,5115]}],"html":null,"kind":"paragraph","latex":"\\frac{\\partial}{\\partial t}\\left... | CC-BY-4.0 | assets/7ff16cf7c49acd87a28ee2c2ad42d5b20b6bdb4835a4941f71ccf1847ea887e0.pdf | 7ff16cf7c49acd87a28ee2c2ad42d5b20b6bdb4835a4941f71ccf1847ea887e0 | arxiv:2608.16750 | formula | 11 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1},"b... | CC-BY-4.0 | assets/c67abf2c0a020d769146e89d03989589d9d5586a542ada077dd2bd7d69fae6f8.pdf | c67abf2c0a020d769146e89d03989589d9d5586a542ada077dd2bd7d69fae6f8 | arxiv:2608.16750 | page | 12 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[157.52,96.93,383.62,93.87],"bbox_pdf":[157.52,601.19,541.13,695.07],"fragments":[{"bbox_pdf":[157.52,601.19,541.13,695.07],"words":[5163,5164,5165,5166,5167,5168,5169,5170,5171,5172,5173,5174,5175,5176,5177,5178,5179,5180,5181,5182,5183,5184,5185,5186,5187,5188,5189,5190,5191,5192]}],"html":null,"kind... | CC-BY-4.0 | assets/c67abf2c0a020d769146e89d03989589d9d5586a542ada077dd2bd7d69fae6f8.pdf | c67abf2c0a020d769146e89d03989589d9d5586a542ada077dd2bd7d69fae6f8 | arxiv:2608.16750 | formula | 12 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[176.22,234.2,364.92,69.83],"bbox_pdf":[176.22,487.97,541.13,557.8],"fragments":[{"bbox_pdf":[176.22,487.97,541.13,557.8],"words":[5216,5217,5218,5219,5220,5221,5222,5223,5224,5225,5226,5227,5228,5229,5230,5231,5232,5233,5234,5235,5236,5237,5238,5239,5240,5241,5242,5244,5245,5246,5247]}],"html":null,"k... | CC-BY-4.0 | assets/c67abf2c0a020d769146e89d03989589d9d5586a542ada077dd2bd7d69fae6f8.pdf | c67abf2c0a020d769146e89d03989589d9d5586a542ada077dd2bd7d69fae6f8 | arxiv:2608.16750 | formula | 12 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[117.14,466.75,423.99,164.16],"bbox_pdf":[117.14,161.1,541.13,325.25],"fragments":[{"bbox_pdf":[117.14,161.1,541.13,325.25],"words":[5358,5359,5360,5361,5362,5363,5364,5365,5366,5367,5368,5369,5370,5371,5372,5373,5374,5375,5376,5377,5378,5379,5380,5381,5382,5383,5384,5385,5386,5387,5388,5389,5390,5391,... | CC-BY-4.0 | assets/c67abf2c0a020d769146e89d03989589d9d5586a542ada077dd2bd7d69fae6f8.pdf | c67abf2c0a020d769146e89d03989589d9d5586a542ada077dd2bd7d69fae6f8 | arxiv:2608.16750 | formula | 12 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1},"b... | CC-BY-4.0 | assets/51f8e4187bfa37d6b0ddfe6fb6e1a88de52a5105ed7b239586e9921d92db6aee.pdf | 51f8e4187bfa37d6b0ddfe6fb6e1a88de52a5105ed7b239586e9921d92db6aee | arxiv:2608.16750 | page | 13 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[92.34,153.89,448.79,31.57],"bbox_pdf":[92.34,606.54,541.13,638.11],"fragments":[{"bbox_pdf":[92.34,606.54,541.13,638.11],"words":[5519,5520,5521,5522,5523,5524,5525,5526,5527,5528,5529,5530,5531,5532,5533,5534,5535,5536,5537,5538,5539,5540,5541,5542,5543,5544,5545,5546,5547]}],"html":null,"kind":"para... | CC-BY-4.0 | assets/51f8e4187bfa37d6b0ddfe6fb6e1a88de52a5105ed7b239586e9921d92db6aee.pdf | 51f8e4187bfa37d6b0ddfe6fb6e1a88de52a5105ed7b239586e9921d92db6aee | arxiv:2608.16750 | formula | 13 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[237.06,204.56,304.08,31.57],"bbox_pdf":[237.06,555.87,541.13,587.44],"fragments":[{"bbox_pdf":[237.06,555.87,541.13,587.44],"words":[5563,5564,5565,5566,5567,5568,5569,5570,5571,5573,5574,5575]}],"html":null,"kind":"paragraph","latex":"T_{l}\\text{d}\\left(s_{l}\\right)=\\text{d}\\left(e_{l}\\right)-\... | CC-BY-4.0 | assets/51f8e4187bfa37d6b0ddfe6fb6e1a88de52a5105ed7b239586e9921d92db6aee.pdf | 51f8e4187bfa37d6b0ddfe6fb6e1a88de52a5105ed7b239586e9921d92db6aee | arxiv:2608.16750 | formula | 13 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[247.24,287.92,293.89,31.57],"bbox_pdf":[247.24,472.5,541.13,504.08],"fragments":[{"bbox_pdf":[247.24,472.5,541.13,504.08],"words":[5623,5624,5625,5626,5627,5628,5629,5630,5631,5632,5633,5634,5635,5636,5637]}],"html":null,"kind":"paragraph","latex":"T_{l}\\frac{\\partial s_{l}}{\\partial x_{j}}=\\frac{... | CC-BY-4.0 | assets/51f8e4187bfa37d6b0ddfe6fb6e1a88de52a5105ed7b239586e9921d92db6aee.pdf | 51f8e4187bfa37d6b0ddfe6fb6e1a88de52a5105ed7b239586e9921d92db6aee | arxiv:2608.16750 | formula | 13 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[242.4,343.08,298.74,30.04],"bbox_pdf":[242.4,418.89,541.13,448.92],"fragments":[{"bbox_pdf":[242.4,418.89,541.13,448.92],"words":[5646,5647,5648,5649,5650,5651,5652,5653,5654]}],"html":null,"kind":"paragraph","latex":"\\phi_{l}\\rho_{l}T_{l}\\frac{D_{l}s_{l}}{Dt}=\\rho_{l}a_{i,j}T_{l}\\frac{\\partial ... | CC-BY-4.0 | assets/51f8e4187bfa37d6b0ddfe6fb6e1a88de52a5105ed7b239586e9921d92db6aee.pdf | 51f8e4187bfa37d6b0ddfe6fb6e1a88de52a5105ed7b239586e9921d92db6aee | arxiv:2608.16750 | formula | 13 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[113.25,398.52,427.88,30.04],"bbox_pdf":[113.25,363.44,541.14,393.48],"fragments":[{"bbox_pdf":[113.25,363.44,541.14,393.48],"words":[5663,5664,5665,5666,5667,5668,5669,5670,5671,5672,5673,5674,5675,5676,5677,5678,5679,5680,5682,5683,5684,5685,5686,5687]}],"html":null,"kind":"paragraph","latex":"T_{l}\... | CC-BY-4.0 | assets/51f8e4187bfa37d6b0ddfe6fb6e1a88de52a5105ed7b239586e9921d92db6aee.pdf | 51f8e4187bfa37d6b0ddfe6fb6e1a88de52a5105ed7b239586e9921d92db6aee | arxiv:2608.16750 | formula | 13 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[193.37,453.67,347.77,30.04],"bbox_pdf":[193.37,308.29,541.14,338.33],"fragments":[{"bbox_pdf":[193.37,308.29,541.14,338.33],"words":[5696,5697,5698,5699,5700,5701,5702,5703,5705,5706,5707,5708]}],"html":null,"kind":"paragraph","latex":"\\frac{\\partial}{\\partial t}\\left(\\phi_{l}\\rho_{l}s_{l}\\righ... | CC-BY-4.0 | assets/51f8e4187bfa37d6b0ddfe6fb6e1a88de52a5105ed7b239586e9921d92db6aee.pdf | 51f8e4187bfa37d6b0ddfe6fb6e1a88de52a5105ed7b239586e9921d92db6aee | arxiv:2608.16750 | formula | 13 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[137.24,521.94,403.9,30.04],"bbox_pdf":[137.24,240.02,541.13,270.06],"fragments":[{"bbox_pdf":[137.24,240.02,541.13,270.06],"words":[5725,5726,5727,5728,5729,5730,5731,5732,5733,5734,5735,5736,5738,5739,5740,5741]}],"html":null,"kind":"paragraph","latex":"\\frac{\\partial}{\\partial t}\\left(\\rho s\\r... | CC-BY-4.0 | assets/51f8e4187bfa37d6b0ddfe6fb6e1a88de52a5105ed7b239586e9921d92db6aee.pdf | 51f8e4187bfa37d6b0ddfe6fb6e1a88de52a5105ed7b239586e9921d92db6aee | arxiv:2608.16750 | formula | 13 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[143.63,597.5,397.51,127.07],"bbox_pdf":[143.63,67.43,541.13,194.5],"fragments":[{"bbox_pdf":[143.63,67.43,541.13,194.5],"words":[5778,5779,5780,5781,5782,5783,5784,5785,5786,5787,5788,5789,5790,5791,5792,5793,5794,5795,5796,5797,5798,5799,5800,5801,5802,5803,5804,5805,5806,5807,5808,5809,5810,5811,581... | CC-BY-4.0 | assets/51f8e4187bfa37d6b0ddfe6fb6e1a88de52a5105ed7b239586e9921d92db6aee.pdf | 51f8e4187bfa37d6b0ddfe6fb6e1a88de52a5105ed7b239586e9921d92db6aee | arxiv:2608.16750 | formula | 13 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1},"b... | CC-BY-4.0 | assets/676ce7e3e1cc7525c72bb5e93033dd30a2a4c2edf11ae8fb4b95118b07fc56ad.pdf | 676ce7e3e1cc7525c72bb5e93033dd30a2a4c2edf11ae8fb4b95118b07fc56ad | arxiv:2608.16750 | page | 14 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[137.32,94.44,403.81,130.76],"bbox_pdf":[137.32,566.79,541.13,697.56],"fragments":[{"bbox_pdf":[137.32,566.79,541.13,697.56],"words":[5821,5822,5823,5824,5825,5826,5827,5828,5829,5830,5831,5832,5833,5834,5835,5836,5837,5838,5839,5840,5841,5842,5843,5844,5845,5846,5847,5848,5849,5850,5851,5852,5853,5854... | CC-BY-4.0 | assets/676ce7e3e1cc7525c72bb5e93033dd30a2a4c2edf11ae8fb4b95118b07fc56ad.pdf | 676ce7e3e1cc7525c72bb5e93033dd30a2a4c2edf11ae8fb4b95118b07fc56ad | arxiv:2608.16750 | formula | 14 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[117.84,538.56,423.3,46.98],"bbox_pdf":[117.84,206.46,541.13,253.44],"fragments":[{"bbox_pdf":[117.84,206.46,541.13,253.44],"words":[6080,6081,6082,6083,6084,6085,6086,6087,6088,6089,6090,6091,6092,6093,6094,6095,6096,6097,6098,6099,6100,6101,6102,6103,6104,6105,6106,6107,6108,6109,6110,6111,6112,6113]... | CC-BY-4.0 | assets/676ce7e3e1cc7525c72bb5e93033dd30a2a4c2edf11ae8fb4b95118b07fc56ad.pdf | 676ce7e3e1cc7525c72bb5e93033dd30a2a4c2edf11ae8fb4b95118b07fc56ad | arxiv:2608.16750 | formula | 14 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[120.93,640.33,420.21,46.98],"bbox_pdf":[120.93,104.68,541.13,151.67],"fragments":[{"bbox_pdf":[120.93,104.68,541.13,151.67],"words":[6143,6144,6145,6146,6147,6148,6149,6150,6151,6152,6153,6154,6155,6156,6157,6158,6160,6161,6162,6163,6164,6165,6166,6167,6168,6169,6170,6171,6173,6174,6175,6176]}],"html"... | CC-BY-4.0 | assets/676ce7e3e1cc7525c72bb5e93033dd30a2a4c2edf11ae8fb4b95118b07fc56ad.pdf | 676ce7e3e1cc7525c72bb5e93033dd30a2a4c2edf11ae8fb4b95118b07fc56ad | arxiv:2608.16750 | formula | 14 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1},"b... | CC-BY-4.0 | assets/978376fbaf89c18c560743d6611c15683cb0e25f89b7f913ab5b78be2fbd1e2b.pdf | 978376fbaf89c18c560743d6611c15683cb0e25f89b7f913ab5b78be2fbd1e2b | arxiv:2608.16750 | page | 15 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[163.92,90.13,377.22,109.3],"bbox_pdf":[163.92,592.57,541.13,701.87],"fragments":[{"bbox_pdf":[163.92,592.57,541.13,701.87],"words":[6184,6185,6186,6187,6188,6189,6190,6191,6192,6193,6194,6195,6196,6197,6198,6199,6200,6201,6202,6203,6204,6205,6206,6207,6208,6209,6210,6211,6212,6213,6215,6216,6217,6218,... | CC-BY-4.0 | assets/978376fbaf89c18c560743d6611c15683cb0e25f89b7f913ab5b78be2fbd1e2b.pdf | 978376fbaf89c18c560743d6611c15683cb0e25f89b7f913ab5b78be2fbd1e2b | arxiv:2608.16750 | formula | 15 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[142.59,229.99,398.54,178.8],"bbox_pdf":[142.59,383.21,541.13,562.01],"fragments":[{"bbox_pdf":[142.59,383.21,541.13,562.01],"words":[6262,6263,6264,6265,6266,6267,6268,6269,6270,6271,6272,6273,6274,6275,6276,6277,6278,6279,6280,6281,6282,6283,6284,6285,6286,6287,6288,6289,6290,6291,6292,6293,6294,6295... | CC-BY-4.0 | assets/978376fbaf89c18c560743d6611c15683cb0e25f89b7f913ab5b78be2fbd1e2b.pdf | 978376fbaf89c18c560743d6611c15683cb0e25f89b7f913ab5b78be2fbd1e2b | arxiv:2608.16750 | formula | 15 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[83.69,436.62,445.82,115.33],"bbox_pdf":[83.69,240.05,529.51,355.38],"fragments":[{"bbox_pdf":[83.69,240.05,529.51,355.38],"words":[6390,6391,6392,6393,6394,6395,6396,6397,6398,6399,6400,6401,6402,6403,6404,6405,6406,6407,6408,6409,6410,6411,6412,6413,6414,6415,6416,6417,6418,6419,6420,6421,6422,6423,6... | CC-BY-4.0 | assets/978376fbaf89c18c560743d6611c15683cb0e25f89b7f913ab5b78be2fbd1e2b.pdf | 978376fbaf89c18c560743d6611c15683cb0e25f89b7f913ab5b78be2fbd1e2b | arxiv:2608.16750 | formula | 15 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[245.22,585.61,295.91,48.11],"bbox_pdf":[245.22,158.28,541.13,206.39],"fragments":[{"bbox_pdf":[245.22,158.28,541.13,206.39],"words":[6507,6508,6509,6510,6512,6513,6514,6515,6516,6517,6518,6519,6520,6521,6522]}],"html":null,"kind":"paragraph","latex":"\\hbox{\\pagecolor{lime}$\\displaystyle\\Delta={\\f... | CC-BY-4.0 | assets/978376fbaf89c18c560743d6611c15683cb0e25f89b7f913ab5b78be2fbd1e2b.pdf | 978376fbaf89c18c560743d6611c15683cb0e25f89b7f913ab5b78be2fbd1e2b | arxiv:2608.16750 | formula | 15 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[237.32,664.31,303.81,60.81],"bbox_pdf":[237.32,66.88,541.13,127.69],"fragments":[{"bbox_pdf":[237.32,66.88,541.13,127.69],"words":[6544,6545,6546,6547,6548,6549,6550,6551,6552,6553,6554,6555,6556,6557,6558,6559,6560,6561,6562,6563,6564,6565,6566,6567,6568]}],"html":null,"kind":"paragraph","latex":"\\b... | CC-BY-4.0 | assets/978376fbaf89c18c560743d6611c15683cb0e25f89b7f913ab5b78be2fbd1e2b.pdf | 978376fbaf89c18c560743d6611c15683cb0e25f89b7f913ab5b78be2fbd1e2b | arxiv:2608.16750 | formula | 15 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1},"b... | CC-BY-4.0 | assets/a43afdf917720f872ae89a6e43c405a987060916400add634568296198314ca9.pdf | a43afdf917720f872ae89a6e43c405a987060916400add634568296198314ca9 | arxiv:2608.16750 | page | 16 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[155.02,167.99,386.12,138.16],"bbox_pdf":[155.02,485.85,541.13,624.01],"fragments":[{"bbox_pdf":[155.02,485.85,541.13,624.01],"words":[6619,6620,6621,6622,6623,6624,6625,6626,6627,6628,6629,6630,6631,6632,6634,6635,6636,6637,6638,6639,6640,6641,6642,6643,6644,6645,6646,6647,6648,6649,6650,6651,6652,665... | CC-BY-4.0 | assets/a43afdf917720f872ae89a6e43c405a987060916400add634568296198314ca9.pdf | a43afdf917720f872ae89a6e43c405a987060916400add634568296198314ca9 | arxiv:2608.16750 | formula | 16 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[79.25,373.0,461.88,105.71],"bbox_pdf":[79.25,313.3,541.13,419.0],"fragments":[{"bbox_pdf":[79.25,313.3,541.13,419.0],"words":[6731,6732,6733,6734,6735,6736,6737,6738,6739,6740,6741,6742,6743,6744,6745,6746,6747,6748,6749,6750,6751,6752,6753,6754,6755,6756,6757,6758,6759,6760,6761,6762,6763,6764,6765,6... | CC-BY-4.0 | assets/a43afdf917720f872ae89a6e43c405a987060916400add634568296198314ca9.pdf | a43afdf917720f872ae89a6e43c405a987060916400add634568296198314ca9 | arxiv:2608.16750 | formula | 16 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[237.46,550.06,303.67,60.81],"bbox_pdf":[237.46,181.13,541.13,241.94],"fragments":[{"bbox_pdf":[237.46,181.13,541.13,241.94],"words":[6866,6867,6868,6869,6870,6871,6872,6873,6874,6875,6876,6877,6878,6879,6880,6881,6882,6883,6884,6885,6886,6887,6888,6889,6890]}],"html":null,"kind":"paragraph","latex":"\... | CC-BY-4.0 | assets/a43afdf917720f872ae89a6e43c405a987060916400add634568296198314ca9.pdf | a43afdf917720f872ae89a6e43c405a987060916400add634568296198314ca9 | arxiv:2608.16750 | formula | 16 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[187.56,646.56,353.58,77.93],"bbox_pdf":[187.56,67.52,541.13,145.44],"fragments":[{"bbox_pdf":[187.56,67.52,541.13,145.44],"words":[6904,6905,6906,6907,6908,6909,6910,6911,6912,6913,6914,6915,6916,6917,6918,6919,6920,6921,6922,6923,6924,6925,6926,6927,6928,6929,6930,6931,6932,6933,6934,6935,6936,6937,6... | CC-BY-4.0 | assets/a43afdf917720f872ae89a6e43c405a987060916400add634568296198314ca9.pdf | a43afdf917720f872ae89a6e43c405a987060916400add634568296198314ca9 | arxiv:2608.16750 | formula | 16 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1},"b... | CC-BY-4.0 | assets/66ce225d44bca9edb5b539efa00c164533c059b9d9858847d823d8617e6f965f.pdf | 66ce225d44bca9edb5b539efa00c164533c059b9d9858847d823d8617e6f965f | arxiv:2608.16750 | page | 18 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[74.33,231.42,464.04,77.93],"bbox_pdf":[74.33,482.65,538.37,560.58],"fragments":[{"bbox_pdf":[74.33,482.65,538.37,560.58],"words":[7432,7433,7434,7435,7436,7437,7438,7439,7440,7441,7442,7443,7444,7445,7446,7447,7448,7449,7450,7451,7452,7453,7454,7455,7456,7457,7458,7459,7460,7461,7462,7463,7464,7465,74... | CC-BY-4.0 | assets/66ce225d44bca9edb5b539efa00c164533c059b9d9858847d823d8617e6f965f.pdf | 66ce225d44bca9edb5b539efa00c164533c059b9d9858847d823d8617e6f965f | arxiv:2608.16750 | formula | 18 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[90.77,388.61,450.36,73.4],"bbox_pdf":[90.77,329.99,541.13,403.39],"fragments":[{"bbox_pdf":[90.77,329.99,541.13,403.39],"words":[7551,7552,7553,7554,7555,7556,7557,7558,7559,7560,7561,7562,7563,7564,7565,7566,7567,7568,7569,7570,7571,7572,7573,7574,7575,7576,7577,7578,7579,7580,7581,7582,7583,7584,758... | CC-BY-4.0 | assets/66ce225d44bca9edb5b539efa00c164533c059b9d9858847d823d8617e6f965f.pdf | 66ce225d44bca9edb5b539efa00c164533c059b9d9858847d823d8617e6f965f | arxiv:2608.16750 | formula | 18 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[126.84,501.34,414.29,31.81],"bbox_pdf":[126.84,258.85,541.13,290.66],"fragments":[{"bbox_pdf":[126.84,258.85,541.13,290.66],"words":[7607,7608,7609,7610,7611,7612,7613,7614,7615,7616,7617,7618,7619,7620,7621,7622,7623,7624,7625,7626,7627,7628,7629,7630,7631,7632,7633,7634,7635,7636,7637,7638,7639,7640... | CC-BY-4.0 | assets/66ce225d44bca9edb5b539efa00c164533c059b9d9858847d823d8617e6f965f.pdf | 66ce225d44bca9edb5b539efa00c164533c059b9d9858847d823d8617e6f965f | arxiv:2608.16750 | formula | 18 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[181.89,573.5,242.47,17.27],"bbox_pdf":[181.89,201.23,424.37,218.5],"fragments":[{"bbox_pdf":[181.89,201.23,424.37,218.5],"words":[7646,7647,7648,7649,7650,7651,7652,7653,7654,7655,7656,7657,7658,7659,7660,7661,7662]}],"html":null,"kind":"paragraph","latex":"\\displaystyle\\alpha_{l}\\left.p_{l}\\right... | CC-BY-4.0 | assets/66ce225d44bca9edb5b539efa00c164533c059b9d9858847d823d8617e6f965f.pdf | 66ce225d44bca9edb5b539efa00c164533c059b9d9858847d823d8617e6f965f | arxiv:2608.16750 | formula | 18 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1},"b... | CC-BY-4.0 | assets/f2c0f8d616f927ae6091dddc57eeeb927b53496683fa2d538c2d4b115da83691.pdf | f2c0f8d616f927ae6091dddc57eeeb927b53496683fa2d538c2d4b115da83691 | arxiv:2608.16750 | page | 19 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[74.33,88.3,464.04,125.93],"bbox_pdf":[74.33,577.77,538.37,703.7],"fragments":[{"bbox_pdf":[74.33,577.77,538.37,703.7],"words":[7710,7711,7712,7713,7714,7715,7716,7717,7718,7719,7720,7721,7722,7723,7724,7725,7726,7727,7728,7729,7730,7731,7732,7733,7734,7735,7736,7737,7738,7739,7740,7741,7742,7743,7744,... | CC-BY-4.0 | assets/f2c0f8d616f927ae6091dddc57eeeb927b53496683fa2d538c2d4b115da83691.pdf | f2c0f8d616f927ae6091dddc57eeeb927b53496683fa2d538c2d4b115da83691 | arxiv:2608.16750 | formula | 19 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[80.61,331.72,460.53,126.26],"bbox_pdf":[80.61,334.02,541.13,460.28],"fragments":[{"bbox_pdf":[80.61,334.02,541.13,460.28],"words":[7895,7896,7897,7898,7899,7900,7901,7902,7903,7904,7905,7906,7907,7908,7909,7910,7911,7912,7913,7914,7915,7916,7917,7918,7919,7920,7921,7922,7923,7924,7925,7926,7927,7928,7... | CC-BY-4.0 | assets/f2c0f8d616f927ae6091dddc57eeeb927b53496683fa2d538c2d4b115da83691.pdf | f2c0f8d616f927ae6091dddc57eeeb927b53496683fa2d538c2d4b115da83691 | arxiv:2608.16750 | formula | 19 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[95.2,550.64,445.94,126.26],"bbox_pdf":[95.2,115.1,541.13,241.36],"fragments":[{"bbox_pdf":[95.2,115.1,541.13,241.36],"words":[8045,8046,8047,8048,8049,8050,8051,8052,8053,8054,8055,8056,8057,8058,8059,8060,8061,8062,8063,8064,8065,8066,8067,8068,8069,8070,8071,8072,8073,8074,8075,8076,8077,8078,8079,8... | CC-BY-4.0 | assets/f2c0f8d616f927ae6091dddc57eeeb927b53496683fa2d538c2d4b115da83691.pdf | f2c0f8d616f927ae6091dddc57eeeb927b53496683fa2d538c2d4b115da83691 | arxiv:2608.16750 | formula | 19 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1},"b... | CC-BY-4.0 | assets/c66be5e62f1a63261a34a24e8a1c64c3644a952a3aa3527b92e2f7925ce39d30.pdf | c66be5e62f1a63261a34a24e8a1c64c3644a952a3aa3527b92e2f7925ce39d30 | arxiv:2608.16750 | page | 20 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[98.08,100.86,443.05,51.6],"bbox_pdf":[98.08,639.54,541.13,691.14],"fragments":[{"bbox_pdf":[98.08,639.54,541.13,691.14],"words":[8167,8168,8169,8170,8171,8172,8173,8174,8175,8176,8177,8178,8179,8180,8181,8182,8183,8184,8185,8186,8187,8188,8189,8190,8191,8192,8193,8194,8195,8196,8198,8199,8200,8201,820... | CC-BY-4.0 | assets/c66be5e62f1a63261a34a24e8a1c64c3644a952a3aa3527b92e2f7925ce39d30.pdf | c66be5e62f1a63261a34a24e8a1c64c3644a952a3aa3527b92e2f7925ce39d30 | arxiv:2608.16750 | formula | 20 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[190.2,420.31,350.94,31.27],"bbox_pdf":[190.2,340.42,541.14,371.69],"fragments":[{"bbox_pdf":[190.2,340.42,541.14,371.69],"words":[8366,8367,8368,8369,8370,8371,8372,8373,8374,8375,8376,8377,8378,8380,8381,8383,8384,8386,8387,8388,8389,8390,8391,8392]}],"html":null,"kind":"paragraph","latex":"\\frac{\\... | CC-BY-4.0 | assets/c66be5e62f1a63261a34a24e8a1c64c3644a952a3aa3527b92e2f7925ce39d30.pdf | c66be5e62f1a63261a34a24e8a1c64c3644a952a3aa3527b92e2f7925ce39d30 | arxiv:2608.16750 | formula | 20 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1},"b... | CC-BY-4.0 | assets/517e1e6062cf4a368bfb3a3d501b300952344abd341f427ea0f064396c904644.pdf | 517e1e6062cf4a368bfb3a3d501b300952344abd341f427ea0f064396c904644 | arxiv:2608.16750 | page | 22 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[78.82,86.98,462.31,205.99],"bbox_pdf":[78.82,499.03,541.13,705.02],"fragments":[{"bbox_pdf":[78.82,499.03,541.13,705.02],"words":[8858,8859,8860,8861,8862,8863,8864,8865,8866,8867,8868,8869,8870,8871,8872,8873,8874,8875,8876,8877,8878,8879,8880,8881,8882,8883,8884,8885,8886,8887,8888,8889,8890,8891,88... | CC-BY-4.0 | assets/517e1e6062cf4a368bfb3a3d501b300952344abd341f427ea0f064396c904644.pdf | 517e1e6062cf4a368bfb3a3d501b300952344abd341f427ea0f064396c904644 | arxiv:2608.16750 | formula | 22 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[95.51,416.6,445.62,31.81],"bbox_pdf":[95.51,343.58,541.13,375.4],"fragments":[{"bbox_pdf":[95.51,343.58,541.13,375.4],"words":[9085,9086,9087,9088,9089,9090,9091,9092,9093,9094,9095,9096,9097,9098,9099,9100,9101,9102,9103,9104,9105,9106,9107,9108,9109,9110,9111,9112,9113,9114,9115,9116,9117]}],"html":... | CC-BY-4.0 | assets/517e1e6062cf4a368bfb3a3d501b300952344abd341f427ea0f064396c904644.pdf | 517e1e6062cf4a368bfb3a3d501b300952344abd341f427ea0f064396c904644 | arxiv:2608.16750 | formula | 22 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[281.18,556.73,259.96,31.27],"bbox_pdf":[281.18,204.01,541.13,235.27],"fragments":[{"bbox_pdf":[281.18,204.01,541.13,235.27],"words":[9166,9167,9168,9170,9171,9172]}],"html":null,"kind":"paragraph","latex":"\\frac{\\partial\\vec{Q}}{\\partial t}=\\vec{\\Psi}_{\\lambda},","level":null,"list_depth":null,... | CC-BY-4.0 | assets/517e1e6062cf4a368bfb3a3d501b300952344abd341f427ea0f064396c904644.pdf | 517e1e6062cf4a368bfb3a3d501b300952344abd341f427ea0f064396c904644 | arxiv:2608.16750 | formula | 22 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[253.88,659.39,287.25,61.6],"bbox_pdf":[253.88,71.01,541.13,132.61],"fragments":[{"bbox_pdf":[253.88,71.01,541.13,132.61],"words":[9233,9234,9235,9236,9237,9238,9239,9240,9241,9242,9243,9244,9245,9246,9247,9248,9249,9250,9251,9252]}],"html":null,"kind":"paragraph","latex":"\\begin{aligned} \\displaysty... | CC-BY-4.0 | assets/517e1e6062cf4a368bfb3a3d501b300952344abd341f427ea0f064396c904644.pdf | 517e1e6062cf4a368bfb3a3d501b300952344abd341f427ea0f064396c904644 | arxiv:2608.16750 | formula | 22 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1},"b... | CC-BY-4.0 | assets/334fe3f9ababbb27804342b02bdd9e657d9b702aed6997f0fd5c894d0d8c2b6a.pdf | 334fe3f9ababbb27804342b02bdd9e657d9b702aed6997f0fd5c894d0d8c2b6a | arxiv:2608.16750 | page | 28 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[213.48,71.86,327.65,39.02],"bbox_pdf":[213.48,681.12,541.13,720.14],"fragments":[{"bbox_pdf":[213.48,681.12,541.13,720.14],"words":[11351,11352,11353,11354,11355,11356,11357,11358,11359,11360]}],"html":null,"kind":"paragraph","latex":"K_{l}=\\int_{\\Omega}\\phi_{l}\\rho_{l}u_{l,i}u_{l,i}dV=\\int_{\\Om... | CC-BY-4.0 | assets/334fe3f9ababbb27804342b02bdd9e657d9b702aed6997f0fd5c894d0d8c2b6a.pdf | 334fe3f9ababbb27804342b02bdd9e657d9b702aed6997f0fd5c894d0d8c2b6a | arxiv:2608.16750 | formula | 28 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[263.02,145.59,278.11,39.02],"bbox_pdf":[263.02,607.39,541.13,646.41],"fragments":[{"bbox_pdf":[263.02,607.39,541.13,646.41],"words":[11387,11388,11389,11390,11391,11392]}],"html":null,"kind":"paragraph","latex":"S_{l}=\\int_{\\Omega}\\phi_{l}\\rho_{l}s_{l}dV,","level":null,"list_depth":null,"match":{"... | CC-BY-4.0 | assets/334fe3f9ababbb27804342b02bdd9e657d9b702aed6997f0fd5c894d0d8c2b6a.pdf | 334fe3f9ababbb27804342b02bdd9e657d9b702aed6997f0fd5c894d0d8c2b6a | arxiv:2608.16750 | formula | 28 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[237.09,233.38,304.05,31.57],"bbox_pdf":[237.09,527.04,541.14,558.62],"fragments":[{"bbox_pdf":[237.09,527.04,541.14,558.62],"words":[11428,11429,11430,11431,11432,11433,11434,11435,11436,11437,11438,11439,11440,11442,11443]}],"html":null,"kind":"paragraph","latex":"s_{l}=c_{v,l}\\log\\left(\\frac{p_{l... | CC-BY-4.0 | assets/334fe3f9ababbb27804342b02bdd9e657d9b702aed6997f0fd5c894d0d8c2b6a.pdf | 334fe3f9ababbb27804342b02bdd9e657d9b702aed6997f0fd5c894d0d8c2b6a | arxiv:2608.16750 | formula | 28 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[260.13,398.56,281.0,30.04],"bbox_pdf":[260.13,363.4,541.13,393.44],"fragments":[{"bbox_pdf":[260.13,363.4,541.13,393.44],"words":[11569,11570,11571,11572,11573,11574,11575,11576,11577,11578]}],"html":null,"kind":"paragraph","latex":"c_{v,l}=\\frac{p_{l}+\\pi_{l}}{T_{l}\\rho_{l}(\\gamma-1)}.","level":n... | CC-BY-4.0 | assets/334fe3f9ababbb27804342b02bdd9e657d9b702aed6997f0fd5c894d0d8c2b6a.pdf | 334fe3f9ababbb27804342b02bdd9e657d9b702aed6997f0fd5c894d0d8c2b6a | arxiv:2608.16750 | formula | 28 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1},"b... | CC-BY-4.0 | assets/84ade6e1fe923663afe159f83858bf73bdea3ba597fb2e9d8fd557a9218088bb.pdf | 84ade6e1fe923663afe159f83858bf73bdea3ba597fb2e9d8fd557a9218088bb | arxiv:2608.16750 | page | 29 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1},"b... | CC-BY-4.0 | assets/f364defb38d3c99f32b728c5b51fd6fb4ad6e814e7409f5fcf11bf1208a5b56a.pdf | f364defb38d3c99f32b728c5b51fd6fb4ad6e814e7409f5fcf11bf1208a5b56a | arxiv:2608.16750 | page | 31 | {"arxiv_id":"2608.16750","authors":"Luis H. Hatashita and Suhas S. Jain","title":"A diffuse-interface method for compressible two-phase flows with seven- and six-equation models","url":"https://arxiv.org/abs/2608.16750v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
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