Displaying similar documents to “Approximation of the viscosity solution of a Hamilton-Jacobi problem. ”

Analyse mathématique de modèles variationells en simulation pétrolière. Le cas du modèle black-oil pseudo-compositionnel standard isoterme.

Gérard Gagneux, Ann-Marie Lefevere, Monique Madaune-Tort (1989)

Revista Matemática de la Universidad Complutense de Madrid

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The aim of the paper is an analytical and numerical approach to the pseudo-compositional black-oil model for simulating a 3-D isothermal constrained polyphasic flow in porous media, taking into account realistic boundary conditions. The handling of the component conservation laws leads to a strongly coupled system including parabolic quasilinear degenerated equations and first-order hyperbolic inequalities: the introduction of unilateral problems arises from the nature of the thermodynamical...