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

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.
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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