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Measure solutions to a strictly hyperbolic system of conservation laws. (English) Zbl 0908.35075

Summary: We study a system of two conservation laws which is strictly hyperbolic, but not genuinely nonlinear. We solve the Riemann problem for the inviscid system in a unique way and find explicit travelling wave solutions for the viscous system. It is established that the solutions must be searched for in the space of bounded Radon measures.

MSC:

35L65 Hyperbolic conservation laws
35Q35 PDEs in connection with fluid mechanics
35R05 PDEs with low regular coefficients and/or low regular data
35D05 Existence of generalized solutions of PDE (MSC2000)
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