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+ The uid density is considered constant = 0. Hamilton-Jacobi FTol Theo [JLY22c; JL22]. A particular case of the Hamilton-Jacobi-Bellman. The Hamilton-Jacobi is an alter- native formulation of classical mechanics, where given a Hamiltonian H(q, p, t) of a mechanical system, the Hamilton Jacobi equation is a rst-order, non-linear PDE for the Hamilton s principal function S.