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Hyperbolic systems of conservation laws with Lipschitz continuous flux-functions: The Riemann problem. (English) Zbl 1009.35053
The authors studied the Riemann problem for strictly hyperbolic systems of conservation laws with Lipschitz continuous flux-functions. The results generalize the classical results given by Lax. The approach is based on the concept of multivalued representation of \(L^\infty\) functions and the generalized calculus for Lipschitz continuous mappings.

MSC:
35L65 Hyperbolic conservation laws
35L67 Shocks and singularities for hyperbolic equations
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