Resonant wind-driven oceanic motions

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. To cite this article: A.-L. Dalibard, L. Saint-Raymond, C. R. Acad. Sci. Paris, Ser. I 347 (2009).