Optimal Regularizing Effect for Scalar Conservation LawsReport as inadecuate

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* Corresponding author 1 LJLL - Laboratoire Jacques-Louis Lions 2 CMLS - Centre de Mathématiques Laurent Schwartz 3 BANG - Nonlinear Analysis for Biology and Geophysical flows LJLL - Laboratoire Jacques-Louis Lions, Inria Paris-Rocquencourt

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.

Keywords : Scalar conservation law Compensated compactness Regularizing effect Kinetic formulation

Author: François Golse - Benoît Perthame -

Source: https://hal.archives-ouvertes.fr/


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