Ekman boundary layers in rotating fluids
ESAIM: Control, Optimisation and Calculus of Variations, Tome 8 (2002), pp. 441-466.

In this paper, we investigate the problem of fast rotating fluids between two infinite plates with Dirichlet boundary conditions and “turbulent viscosity” for general ${L}^{2}$ 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.

DOI : https://doi.org/10.1051/cocv:2002037
Classification : 35Q30,  35Q35,  76U05
Mots clés : Navier-Stokes equations, rotating fluids, Strichartz estimates
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author = {Chemin, Jean-Yves and Desjardins, Beno{\^\i}t and Gallagher, Isabelle and Grenier, Emmanuel},
title = {Ekman boundary layers in rotating fluids},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
pages = {441--466},
publisher = {EDP-Sciences},
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Chemin, Jean-Yves; Desjardins, Benoît; Gallagher, Isabelle; Grenier, Emmanuel. Ekman boundary layers in rotating fluids. ESAIM: Control, Optimisation and Calculus of Variations, Tome 8 (2002), pp. 441-466. doi : 10.1051/cocv:2002037. http://www.numdam.org/articles/10.1051/cocv:2002037/

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