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Sur une formulation variationnelle entropique des systèmes hyperboliques conservatifs: Cas pluridimensionnel. (Multi-dimensional case of an entropic variational formulation of hyperbolic systems). (French) Zbl 0598.76078
The mathematics of solving conservative hyperbolic systems is briefly reviewed. The entropic variational formulation for a class of physical systems is generalized to the two-dimensional case and substantiated. The finite element approximation and the new algorithm described are tested with different external flows.

MSC:
76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics
76M99 Basic methods in fluid mechanics
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