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Mathematical study of rotating fluids with resonant surface stress

Dalibard, Anne-Laure; Saint-Raymond, Laure (2009), Mathematical study of rotating fluids with resonant surface stress, Journal of Differential Equations, 246, 6, p. 2304-2354. http://dx.doi.org/10.1016/j.jde.2008.12.016

Type
Article accepté pour publication ou publié
External document link
http://hal.archives-ouvertes.fr/hal-00258519/en/
Date
2009
Journal name
Journal of Differential Equations
Volume
246
Number
6
Publisher
Elsevier
Pages
2304-2354
Publication identifier
http://dx.doi.org/10.1016/j.jde.2008.12.016
Metadata
Show full item record
Author(s)
Dalibard, Anne-Laure
Saint-Raymond, Laure
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.
Subjects / Keywords
Rotating Fluids

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