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1997 Rotating fluid at high Rossby number driven by a surface stress: existence and convergence
Thierry Colin, Pierre Fabrie
Adv. Differential Equations 2(5): 715-751 (1997).

Abstract

We consider the 3-D Navier-Stokes equations with Coriolis force of order $\frac{1}{\epsilon}$ and vanishing vertical viscosity of order $\epsilon$. For suitable initial data, we prove some long-time existence results. Moreover, we obtain convergence as $\epsilon$ goes to 0 to the 2-D Navier-Stokes equations. We deal with periodic boundary conditions and nonhomogeneous stress. In this case, we compute and justify the corrector.

Citation

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Thierry Colin. Pierre Fabrie. "Rotating fluid at high Rossby number driven by a surface stress: existence and convergence." Adv. Differential Equations 2 (5) 715 - 751, 1997.

Information

Published: 1997
First available in Project Euclid: 22 April 2013

zbMATH: 1023.76593
MathSciNet: MR1751425

Subjects:
Primary: 76U05
Secondary: 35Q30, 76D05, 76D10

Rights: Copyright © 1997 Khayyam Publishing, Inc.

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Vol.2 • No. 5 • 1997
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