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 GolseConnect in order to contact the contributor Submitted on : Thursday, July 26, 2012 - 10:17:29 AM Last modification on : Friday, February 4, 2022 - 3:07:58 AM Long-term archiving on: : Saturday, October 27, 2012 - 2:30:21 AM