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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

Constantine M. Dafermos 1,

1. 

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

Received  December 2007 Revised  April 2008 Published  September 2008

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