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.


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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