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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

Type
Article accepté pour publication ou publié
External document link
http://hal.archives-ouvertes.fr/hal-00260396/en/
Date
2009
Journal name
SIAM Journal on Mathematical Analysis
Volume
41
Number
2
Publisher
SIAM
Pages
511-563
Publication identifier
http://dx.doi.org/10.1137/080718139
Metadata
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Author(s)
Dalibard, Anne-Laure
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 / Keywords
Oceanic circulation; Stationary setting; Rotating fluids; Boundary layer

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