Mathematical study of rotating fluids with resonant surface stress

Dalibard, Anne-Laure; Saint-Raymond, Laure

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

Publisher

Elsevier

Pages

2304-2354

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