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

Voir la notice de l'article provenant de la source Numdam

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 : 10.1051/cocv:2002037
Classification : 35Q30, 35Q35, 76U05
Keywords: Navier-Stokes equations, rotating fluids, Strichartz estimates 
@article{COCV_2002__8__441_0,
     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},
     zbl = {1070.35505},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv:2002037/}
}
TY  - JOUR
AU  - Chemin, Jean-Yves
AU  - Desjardins, Benoît
AU  - Gallagher, Isabelle
AU  - Grenier, Emmanuel
TI  - Ekman boundary layers in rotating fluids
JO  - ESAIM: Control, Optimisation and Calculus of Variations
PY  - 2002
SP  - 441
EP  - 466
VL  - 8
PB  - EDP-Sciences
UR  - http://geodesic.mathdoc.fr/articles/10.1051/cocv:2002037/
DO  - 10.1051/cocv:2002037
LA  - en
ID  - COCV_2002__8__441_0
ER  - 
%0 Journal Article
%A Chemin, Jean-Yves
%A Desjardins, Benoît
%A Gallagher, Isabelle
%A Grenier, Emmanuel
%T Ekman boundary layers in rotating fluids
%J ESAIM: Control, Optimisation and Calculus of Variations
%D 2002
%P 441-466
%V 8
%I EDP-Sciences
%U http://geodesic.mathdoc.fr/articles/10.1051/cocv:2002037/
%R 10.1051/cocv:2002037
%G en
%F COCV_2002__8__441_0
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

Cité par Sources :