Asymptotic behaviour of a rapidly rotating fluid with random stationary surface stress
Dalibard, Anne-Laure (2009), Asymptotic behaviour of a rapidly rotating fluid with random stationary surface stress, SIAM Journal on Mathematical Analysis, 41, 2, p. 511-563. http://dx.doi.org/10.1137/080718139
TypeArticle accepté pour publication ou publié
External document linkhttp://hal.archives-ouvertes.fr/hal-00260396/en/
Journal nameSIAM Journal on Mathematical Analysis
MetadataShow full item record
Abstract (EN)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.
Subjects / KeywordsOceanic circulation; Stationary setting; Rotating fluids; Boundary layer
Showing items related by title and author.