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| HAL : hal-00451641, version 1 |
| arXiv : 1001.5415 |
| DOI : 10.1016/j.jfa.2010.02.016 |
| Fiche détaillée |  Récupérer au format |
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| Journal of Functional Analysis 259, 4 (2010) 1014-1042 |
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| Scalar conservation laws with stochastic forcing |
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| Arnaud Debussche 1Julien Vovelle 2 |
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| (2010) |
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| We show that the Cauchy Problem for a randomly forced, periodic multi-dimensional scalar first-order conservation law with additive or multiplicative noise is well-posed: it admits a unique solution, characterized by a kinetic formulation of the problem, which is the limit of the solution of the stochastic parabolic approximation. |
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| 1 : | IPSO (INRIA - IRMAR) |
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CNRS : UMR6074 – INRIA – Université de Rennes 1 |
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| 2 : | Institut Camille Jordan (ICJ) |
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CNRS : UMR5208 – Université Claude Bernard - Lyon I – Ecole Centrale de Lyon – Institut National des Sciences Appliquées (INSA) - Lyon |
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| Domaine | : | Mathématiques/Equations aux dérivées partielles Mathématiques/Probabilités |
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| Stochastic partial differential equations – conservation laws – kinetic formulation – entropy solutions |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00451641, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00451641 | |
| oai:hal.archives-ouvertes.fr:hal-00451641 | |
| Contributeur : Marie-Annick Guillemer | |
| Soumis le : Vendredi 29 Janvier 2010, 15:29:00 | |
| Dernière modification le : Lundi 6 Juin 2011, 15:25:07 | |
