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Measure solutions to a strictly hyperbolic system of conservation laws

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Published under licence by IOP Publishing Ltd
, , Citation Brian T Hayes and Philippe G LeFloch 1996 Nonlinearity 9 1547 DOI 10.1088/0951-7715/9/6/009

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Author affiliations

1 Department of Mathematics and Center for Applied Mathematical Sciences, University of Southern California, Los Angeles, CA 90089-1113, USA

2 Centre de Mathématiques Appliquées, Ecole Polytechnique, Palaiseau, France

Dates

  1. Received 17 October 1995

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0951-7715/9/6/1547

Abstract

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.

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10.1088/0951-7715/9/6/009