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Mathematical study of rotating fluids with resonant surface stress

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Date
2009
Notes
La version librement accessible est celle du working paper intitulé "Mathematical study of resonant wind-driven oceanic motions"
Link to item file
http://hal.archives-ouvertes.fr/hal-00258519/en/
Dewey
Probabilités et mathématiques appliquées
Sujet
Rotating Fluids
Journal issue
Journal of Differential Equations
Volume
246
Number
6
Publication date
03-2009
Article pages
2304-2354
Publisher
Elsevier
DOI
http://dx.doi.org/10.1016/j.jde.2008.12.016
URI
https://basepub.dauphine.fr/handle/123456789/2995
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  • CEREMADE : Publications
Metadata
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Author
Dalibard, Anne-Laure
Saint-Raymond, Laure
Type
Article accepté pour publication ou publié
Abstract (EN)
We are interested here in describing the linear response of a highly rotating fluid to some surface stress tensor, which admits fast time oscillations and may be resonant with the Coriolis force. In addition to the usual Ekman layer, we exhibit another – much larger – boundary layer, and we prove that for large times, the effect of the surface stress may no longer be localized in the vicinity of the surface. From a mathematical point of view, the main novelty here is to introduce some systematic approach for the study of boundary effects.

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