We are interested here in describing the linear response of a rapidly rotating fluid to some surface stress, possibly due to the wind. The distinctive feature of the model considered here lies in the fact that the stress admits fast time oscillations and may be resonant with the Coriolis force. In addition to the usual Ekman layer, the model exhibits another – much larger – boundary layer, and some global vertical profile. We prove, in particular, that for large times, the wind effect is no longer localized in the vicinity of the surface.
Cette Note est consacrée à la description des effets d'un forçage surfacique, par exemple dû au vent, sur des fluides en rotation rapide dont l'évolution est régie par une équation linéaire. La particularité de l'analyse menée ici réside dans le caractère fortement oscillant en temps du vent, qui peut alors entrer en résonance avec la force de Coriolis. En particulier, la taille des couches limites dûes au forçage résonnant est beaucoup plus grande que celle des couches d'Ekman habituelles, et il apparaît un profil vertical singulier, qui, en temps grand, n'est pas localisé dans un voisinage de la surface.
Accepted:
Published online:
@article{CRMATH_2009__347_7-8_451_0, author = {Dalibard, Anne-Laure and Saint-Raymond, Laure}, title = {Resonant wind-driven oceanic motions}, journal = {Comptes Rendus. Math\'ematique}, pages = {451--456}, publisher = {Elsevier}, volume = {347}, number = {7-8}, year = {2009}, doi = {10.1016/j.crma.2009.01.025}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.crma.2009.01.025/} }
TY - JOUR AU - Dalibard, Anne-Laure AU - Saint-Raymond, Laure TI - Resonant wind-driven oceanic motions JO - Comptes Rendus. Mathématique PY - 2009 SP - 451 EP - 456 VL - 347 IS - 7-8 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2009.01.025/ DO - 10.1016/j.crma.2009.01.025 LA - en ID - CRMATH_2009__347_7-8_451_0 ER -
%0 Journal Article %A Dalibard, Anne-Laure %A Saint-Raymond, Laure %T Resonant wind-driven oceanic motions %J Comptes Rendus. Mathématique %D 2009 %P 451-456 %V 347 %N 7-8 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2009.01.025/ %R 10.1016/j.crma.2009.01.025 %G en %F CRMATH_2009__347_7-8_451_0
Dalibard, Anne-Laure; Saint-Raymond, Laure. Resonant wind-driven oceanic motions. Comptes Rendus. Mathématique, Volume 347 (2009) no. 7-8, pp. 451-456. doi : 10.1016/j.crma.2009.01.025. http://www.numdam.org/articles/10.1016/j.crma.2009.01.025/
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