| Issue |
ESAIM: COCV
Volume 8, 2002
A tribute to JL Lions
|
|
|---|---|---|
| Page(s) | 441 - 466 | |
| DOI | https://doi.org/10.1051/cocv:2002037 | |
| Published online | 15 August 2002 | |
Ekman boundary layers in rotating fluids
1
Centre de Mathématiques de l'École
Polytechnique, UMR 7640 du CNRS, 91128 Palaiseau Cedex, France;
2
CEA, BP. 12, 91680 Bruyères-le-Châtel, France.
3
Centre de Mathématiques de l'École
Polytechnique, UMR 7640 du CNRS, 91128 Palaiseau Cedex, France; Isabelle.Gallagher@math.polytechnique.fr.
4
UMPA, UMR du CNRS,
ENS Lyon, 46 allée d'Italie, 69364 Lyon Cedex 07, France.
Received:
7
January
2002
In this paper, we investigate the problem of fast rotating fluids between two infinite plates with Dirichlet boundary conditions and “turbulent viscosity” for general L2 initial data. We use dispersive effect to prove strong convergence to the solution of the bimensionnal Navier-Stokes equations modified by the Ekman pumping term.
Mathematics Subject Classification: 35Q30 / 35Q35 / 76U05
Key words: Navier–Stokes equations / rotating fluids / Strichartz estimates.
© EDP Sciences, SMAI, 2002
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