Dubois, François; Le Floch, Philippe Boundary condition for systems of hyperbolic conservation laws. (Condition à la limite pour un système de lois de conservation.) (French) Zbl 0634.35046 C. R. Acad. Sci., Paris, Sér. I 304, 75-78 (1987). We propose a formulation of the boundary condition for non linear hyperbolic systems of conservation laws. It is based on the notion of Riemann problem and leads to a “well posed” problem. The equivalence with classical formulations is established for both linear and non convex scalar cases. The study of isentropic Euler equations gives a non trivial example which is graphically detailed. Cited in 4 Documents MSC: 35L65 Hyperbolic conservation laws 35L50 Initial-boundary value problems for first-order hyperbolic systems 35A05 General existence and uniqueness theorems (PDE) (MSC2000) Keywords:boundary condition; systems of conservation laws; Riemann problem; well posed; non convex; isentropic Euler equations PDF BibTeX XML Cite \textit{F. Dubois} and \textit{P. Le Floch}, C. R. Acad. Sci., Paris, Sér. I 304, 75--78 (1987; Zbl 0634.35046) OpenURL