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 <>
Submitted on : Thursday, July 26, 2012 - 10:17:29 AM Last modification on : Tuesday, December 8, 2020 - 3:38:40 AM Long-term archiving on: : Saturday, October 27, 2012 - 2:30:21 AM