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Ekman boundary layers in rotating fluids

Published online by Cambridge University Press:  15 August 2002

Jean-Yves Chemin ,
Benoît Desjardins ,
Isabelle Gallagher  and
Emmanuel Grenier
Jean-Yves Chemin
Affiliation:
Centre de Mathématiques de l'École Polytechnique, UMR 7640 du CNRS, 91128 Palaiseau Cedex, France;
Benoît Desjardins
Affiliation:
CEA, BP. 12, 91680 Bruyères-le-Châtel, France.
Isabelle Gallagher
Affiliation:
Centre de Mathématiques de l'École Polytechnique, UMR 7640 du CNRS, 91128 Palaiseau Cedex, France; [email protected].
Emmanuel Grenier
Affiliation:
UMPA, UMR du CNRS, ENS Lyon, 46 allée d'Italie, 69364 Lyon Cedex 07, France.
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Abstract

In this paper, we investigate the problem of fast rotatingfluids between two infinite plates with Dirichlet boundary conditions and“turbulentviscosity” for general L 2 initial data. We use dispersive effect toprove strongconvergence to the solution of the bimensionnal Navier-Stokes equationsmodified bythe Ekman pumping term.

Keywords

Navier–Stokes equationsrotating fluidsStrichartz estimates.
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 8: A tribute to JL Lions , 2002 , pp. 441 - 466
Copyright
© EDP Sciences, SMAI, 2002

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References

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