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university of Provence - Aix-Marseille I |  |
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university of Provence - Aix-Marseille I | |
| HAL: hal-00349222, version 2 |
| arXiv: 0812.4765 |
| Detailed view |  Export this paper |
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| Journal of Evolution Equations 11, 1 (2011) 43-55 |
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| Available versions: | v1 (2008-12-27) | v2 (2010-02-25) |
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| On the time continuity of entropy solutions |
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Clément Cancès 1, 2Thierry Gallouët 2 |
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| (2011) |
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| We show that any entropy solution $u$ of a convection diffusion equation $\partial_t u + \div F(u)-\Delta\phi(u) =b$ in $\OT$ belongs to $C([0,T),L^1_{Loc}(\o\O))$. The proof does not use the uniqueness of the solution. |
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| 1: | Institut de Recherche Mathématique de Rennes (IRMAR) |
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CNRS : UMR6625 – Université de Rennes 1 – École normale supérieure de Cachan - ENS Cachan – Institut National des Sciences Appliquées (INSA) : - RENNES – Université de Rennes II - Haute Bretagne |
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| 2: | Laboratoire d'Analyse, Topologie, Probabilités (LATP) |
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CNRS : UMR6632 – Université de Provence - Aix-Marseille I – Université Paul Cézanne - Aix-Marseille III |
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| Subject | : | Mathematics/Analysis of PDEs |
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| Entropy solution – time continuity – scalar conservation laws |
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| hal-00349222, version 2 | |
| http://hal.archives-ouvertes.fr/hal-00349222 | |
| oai:hal.archives-ouvertes.fr:hal-00349222 | |
| From: Clément Cancès | |
| Submitted on: Thursday, 25 February 2010 12:31:42 | |
| Updated on: Thursday, 20 October 2011 18:43:07 | |
