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Interaction de deux chocs pour un système de deux lois de conservation, en dimension deux d’espace. (Interaction of two shock waves for a system with two conservation laws in two dimensional space). (French) Zbl 0619.35075
The Cauchy problem with a discontinuous initial data is locally solved for a strictly hyperbolic system of two conservation laws in two dimensional space and the interaction of two shock waves is studied. This leads to a nonlinear free boundary Goursat problem.
Reviewer: G.Boillat

MSC:
35L65 Hyperbolic conservation laws
76L05 Shock waves and blast waves in fluid mechanics
35L50 Initial-boundary value problems for first-order hyperbolic systems
35L67 Shocks and singularities for hyperbolic equations
35L45 Initial value problems for first-order hyperbolic systems
35A07 Local existence and uniqueness theorems (PDE) (MSC2000)
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