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| HAL: hal-00202638, version 1 |
| arXiv: 0801.1087 |
| DOI: 10.1016/j.jde.2009.11.004 |
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| Journal of Differential Equations 246, 4 (2010) 639 - 659 |
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| Modeling the Coastal Ocean over a Time Period of Several Weeks |
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Pierre Ailliot 1, 2Emmanuel Frenod 1, 3, 4 |
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| (2010-02-15) |
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| From a scale analysis of hydrodynamic phenomena having a significant action on the drift of an object in coastal ocean waters, we deduce equations modeling the associated hydrodynamic fields over a time period of several weeks. These models are essentially non linear hyperbolic systems of PDE involving a small parameter. Then from the models we extract a simplified and nevertheless typical one for which we prove that its classical solution exists on a time interval which is independent of the small parameter. We then show that the solution weak-* converges as the small parameter goes to zero and we characterize the equation satisfied by the weak-* limit |
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| 1: | Laboratoire d'Etude et Modélisation des Environnements littoraux (LEMEL) |
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Université de Bretagne Sud |
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| 2: | Laboratoire de Statistique Appliquée de l'Université de Bretagne-Sud (SABRES) |
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Université de Bretagne Sud |
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| 3: | CALVI (INRIA Nancy - Grand Est / IECN / LSIIT / IRMA) |
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CNRS : UMR7005 – INRIA – Université de Strasbourg – Université de Lorraine |
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| 4: | Laboratoire de Mathématiques et Applications des Mathématiques, EA 3885 (LMAM) |
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Université de Bretagne Sud |
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| Subject | : | Computer Science/Modeling and Simulation Mathematics/Analysis of PDEs Engineering Sciences/Mechanics/Fluids mechanics Physics/Mechanics/Mechanics of the fluids Sciences of the Universe/Continental interfaces, environment Environmental Sciences/Global Changes |
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| Hyperbolic PDE – coastal ocean modeling – scale analysis – asymptotic analysis |
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| hal-00202638, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00202638 | |
| oai:hal.archives-ouvertes.fr:hal-00202638 | |
| From: Emmanuel Frenod | |
| Submitted on: Monday, 7 January 2008 15:27:29 | |
| Updated on: Thursday, 14 January 2010 10:28:11 | |
