 |
Laboratoire Jacques-Louis Lions |  |
|
Laboratoire Jacques-Louis Lions | |
| HAL : hal-00650350, version 1 |
| Fiche détaillée |  Récupérer au format |
 |
| Versions disponibles : | v1 (10-12-2011) | v2 (27-07-2012) |
|
|
|
|
| Optimal Regularizing Effect for Scalar Conservation Laws |
|
|
François Golse 1, 2Benoît Perthame 1, 3 |
|
|
| (09/12/2011) |
|
|
|
| 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. |
|
|
|
|
|
|
|
|
|
|
|
| 1 : | Laboratoire Jacques-Louis Lions (LJLL) |
|
|
|
CNRS : UMR7598 – Université Pierre et Marie Curie (UPMC) - Paris VI |
|
|
| 2 : | Centre de Mathématiques Laurent Schwartz (CMLS-EcolePolytechnique) |
|
|
|
CNRS : UMR7640 – Polytechnique - X |
|
|
| 3 : | BANG (INRIA Rocquencourt) |
|
|
|
INRIA – Laboratoire Jacques-Louis Lions |
|
|
|
|
|
|
|
|
|
| Domaine | : | Mathématiques/Equations aux dérivées partielles |
|
|
| Scalar conservation law – Compensated compactness – Regularizing effect – Kinetic formulation |
|
|
|
| Liste des fichiers attachés à ce document : | ||||||||||
|
||||||||||
|
|
|
| hal-00650350, version 1 | |
| http://hal-polytechnique.archives-ouvertes.fr/hal-00650350 | |
| oai:hal-polytechnique.archives-ouvertes.fr:hal-00650350 | |
| Contributeur : François Golse | |
| Soumis le : Vendredi 9 Décembre 2011, 21:56:14 | |
| Dernière modification le : Samedi 10 Décembre 2011, 09:18:47 | |
