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 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.

DOI : 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},
     volume = {8},
     year = {2002},
     doi = {10.1051/cocv:2002037},
     mrnumber = {1932959},
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     url = {https://www.numdam.org/articles/10.1051/cocv:2002037/}
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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. https://www.numdam.org/articles/10.1051/cocv:2002037/

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