A variational approach to the Riemann problem for hyperbolic conservation laws

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January & February 2009, 23(1&2): 185-195. doi: 10.3934/dcds.2009.23.185

A variational approach to the Riemann problem for hyperbolic conservation laws

1.	Division of Applied Mathematics, Brown University, Providence, RI 02912, United States

Received December 2007 Revised April 2008 Published September 2008

Abstract
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Within the framework of strictly hyperbolic systems of conservation laws endowed with a convex entropy, it is shown that the admissible solution to the Riemann problem is obtained by minimizing the entropy production over all wave fans with fixed end-states.

Keywords: Hyperbolic conservation laws, Entropy, Riemann Problem.

Mathematics Subject Classification: Primary: 35L65.

Citation: Constantine M. Dafermos. A variational approach to the Riemann problem for hyperbolic conservation laws. Discrete & Continuous Dynamical Systems - A, 2009, 23 (1&2) : 185-195. doi: 10.3934/dcds.2009.23.185

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