NDLI: Asymptotic Behavior of a Rapidly Rotating Fluid with Random Stationary Surface Stress

Content Provider	Society for Industrial and Applied Mathematics (SIAM)
Author	Dalibard, Anne-Laure
Copyright Year	2009
Abstract	The goal of this paper is to describe in mathematical terms the effect on ocean circulation of a random stationary wind stress on the surface of the ocean. In order to avoid singular behavior, nonresonance hypotheses are introduced, which ensure that the time frequencies of the wind stress are different from that of the Earth's rotation. We prove a convergence result for a three-dimensional NavierStokesCoriolis 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 nonresonant torus.
Starting Page	511
Ending Page	563
Page Count	53
File Format	PDF
ISSN	00361410
DOI	10.1137/080718139
e-ISSN	10957154
Journal	SIAM Journal on Mathematical Analysis (SJMAAH)
Issue Number	2
Volume Number	41
Language	English
Publisher	Society for Industrial and Applied Mathematics
Publisher Date	2009-05-14
Access Restriction	Subscribed
Subject Keyword	Rotating fluids Hydrology, hydrography, oceanography boundary layer oceanic circulation rotating fluids stationary setting Partial differential equations with randomness, stochastic partial differential equations Asymptotic behavior of solutions
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Analysis Computational Mathematics

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