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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

J. Math. Pures Appl., IX. Sér. 75, No. 5, 485-508 (1996).

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.

Reviewer: G.Boillat (Aubière)

Cited in 1 Review

Cited in 21 Documents

MSC:

35L65	Hyperbolic conservation laws
35K55	Nonlinear parabolic equations

Keywords:

viscosity method

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