| import OAI.MathematicalPhysics.Transonic.Profile.GlobalRadialProfile | |
| import OAI.MathematicalPhysics.Transonic.Exterior.CoverAll | |
| import OAI.MathematicalPhysics.Transonic.Shooting.MatchedExistence | |
| namespace OAI | |
| section | |
| noncomputable section | |
| namespace SepticProfile.SonicShooting | |
| /-- Existence of a global smooth relativistic transonic profile at `ell = 5/3`. -/ | |
| theorem exists_global_source_profile : RelativisticProfileExists := by | |
| obtain ⟨M⟩ := exists_matched_pair | |
| obtain ⟨B⟩ := M.exists_exteriorBranch | |
| (ExteriorCertificates.actual_germ_window M.sonic.germ M.parameter) | |
| obtain ⟨T⟩ := B.exists_tail | |
| exact T.relativistic_profile | |
| end SepticProfile.SonicShooting | |
| end | |
| end | |
| end OAI | |