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Université d'Orléans |  |
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Université d'Orléans | |
| HAL : hal-00664215, version 1 |
| DOI : 10.1016/j.nonrwa.2012.09.012 |
| Fiche détaillée |  Récupérer au format |
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| Nonlinear Analysis: Real World Applications 14, 2 (2013) 1216 -- 1224 |
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| Versions disponibles : | v1 (30-01-2012) | v2 (07-02-2013) |
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| Strong solutions for a 1D viscous bilayer Shallow Water model |
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| Jean De Dieu Zabsonré 1Carine Lucas 2 |
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| (04/2013) |
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| In this paper, we consider a viscous bilayer shallow water model in one space dimension that represents two superposed immiscible fluids. For this model, we prove the existence of strong solutions in a periodic domain. The initial heights are required to be bounded above and below away from zero and we get the same bounds for every time. Our analysis is based on the construction of approximate system which satisfy the BD entropy and on the method developed by A. Mellet and A. Vasseur to obtain the existence of global strong solutions for the one dimensional Navier-Stokes equations. |
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| 1 : | ISEA |
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Université Polytechnique de Bobo-Dioulasso |
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| 2 : | Mathématiques - Analyse, Probabilités, Modélisation - Orléans (MAPMO) |
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Université d'Orléans – CNRS : UMR7349 |
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| Domaine | : | Mathématiques/Equations aux dérivées partielles |
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| Strong solutions – shallow water – viscous models – bilayer – stability |
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| Liste des fichiers attachés à ce document : | |||||
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| hal-00664215, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00664215 | |
| oai:hal.archives-ouvertes.fr:hal-00664215 | |
| Contributeur : Carine Lucas | |
| Soumis le : Lundi 30 Janvier 2012, 10:04:59 | |
| Dernière modification le : Jeudi 7 Février 2013, 09:27:52 | |
