 |
|
|
|
| HAL : hal-00260396, version 3 |
| arXiv : 0803.0396 |
| Fiche détaillée |  Récupérer au format |
|
|
| Versions disponibles : | v1 (04-03-2008) | v2 (17-03-2008) | v3 (21-01-2009) |
|
|
|
|
| Asymptotic behaviour of a rapidly rotating fluid with random stationary surface stress |
|
|
| Anne-Laure Dalibard 1, 2 |
|
|
| (04/03/2008) |
|
|
|
| The goal of this paper is to describe in mathematical terms the effect on the ocean circulation of a random stationary wind stress at the surface of the ocean. In order to avoid singular behaviour, non-resonance hypotheses are introduced, which ensure that the time frequencies of the wind-stress are different from that of the Earth rotation. We prove a convergence result for a three-dimensional Navier-Stokes-Coriolis system in a bounded domain, in the asymptotic of fast rotation and vanishing vertical viscosity, and we exhibit some random and stationary boundary layer profiles. At last, an average equation is derived for the limit system in the case of the non-resonant torus. |
|
|
|
|
|
|
|
|
|
|
|
| 1 : | Département de Mathématiques et Applications (DMA) |
|
|
|
CNRS : UMR8553 – Ecole Normale Supérieure de Paris - ENS Paris |
|
|
| 2 : | CEntre de REcherches en MAthématiques de la DEcision (CEREMADE) |
|
|
|
CNRS : UMR7534 – Université Paris IX - Paris Dauphine |
|
|
|
|
|
|
|
|
|
| Domaine | : | Mathématiques/Equations aux dérivées partielles |
|
|
| Rotating fluids – Oceanic circulation – Stationary setting – Boundary layer |
|
|
|
| Liste des fichiers attachés à ce document : | ||||||||||
|
||||||||||
|
|
|
| hal-00260396, version 3 | |
| http://hal.archives-ouvertes.fr/hal-00260396 | |
| oai:hal.archives-ouvertes.fr:hal-00260396 | |
| Contributeur : Anne-Laure Dalibard | |
| Soumis le : Mercredi 21 Janvier 2009, 19:15:58 | |
| Dernière modification le : Mardi 17 Février 2009, 18:18:30 | |
