Abstract : We investigate the regularity of bounded weak solutions of scalar conservation laws with convex flux in space dimension one, satisfying an entropy condition with entropy production term that is a signed Radon measure. The proof is based on the kinetic formulation of scalar conservation laws and on an interaction estimate in physical space.
https://hal-polytechnique.archives-ouvertes.fr/hal-00650350
Contributor : François Golse
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Submitted on : Thursday, July 26, 2012 - 10:17:29 AM
Last modification on : Sunday, March 31, 2019 - 1:25:12 AM
Long-term archiving on : Saturday, October 27, 2012 - 2:30:21 AM
