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| HAL : hal-00462033, version 1 |
| arXiv : 1003.4155 |
| Fiche détaillée |  Récupérer au format |
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| A BGK approximation to scalar conservation laws with discontinuous flux |
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| Florent Berthelin 1Julien Vovelle 2 |
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| (08/03/2010) |
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| We study the BGK approximation to first-order scalar conservation laws with a flux which is discontinuous in the space variable. We show that the Cauchy Problem for the BGK approximation is well-posed and that, as the relaxation parameter tends to 0, it converges to the (entropy) solution of the limit problem. |
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| 1 : | Laboratoire Jean Alexandre Dieudonné (JAD) |
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CNRS : UMR6621 – Université Nice Sophia Antipolis [UNS] |
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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 |
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| scalar conservation laws – discontinuous flux – BGK model – relaxation limit |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00462033, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00462033 | |
| oai:hal.archives-ouvertes.fr:hal-00462033 | |
| Contributeur : Aurélie Reymond | |
| Soumis le : Lundi 8 Mars 2010, 11:50:34 | |
| Dernière modification le : Lundi 22 Mars 2010, 14:44:57 | |
