Study of limit conditions for a strictly hyperbolic system via parabolic approximation. (Étude des conditions aux limites pour un système strictement hyperbolique, via l’approximation parabolique.) (French) Zbl 0869.35061

A strictly hyperbolic system of conservation laws is perturbed by a viscosity term depending on a viscosity matrix and a small parameter. It is proved that the viscous solution converges to the solution of the hyperbolic system.


35L65 Hyperbolic conservation laws
35K55 Nonlinear parabolic equations