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| HAL: hal-00451641, version 1 |
| arXiv: 1001.5415 |
| DOI: 10.1016/j.jfa.2010.02.016 |
| Detailed view |  Export this paper |
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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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| Subject | : | Mathematics/Analysis of PDEs Mathematics/Probability |
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| Stochastic partial differential equations – conservation laws – kinetic formulation – entropy solutions |
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| Attached file list to this document: | ||||||||||
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| hal-00451641, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00451641 | |
| oai:hal.archives-ouvertes.fr:hal-00451641 | |
| From: Marie-Annick Guillemer | |
| Submitted on: Friday, 29 January 2010 15:29:00 | |
| Updated on: Monday, 6 June 2011 15:25:07 | |
