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1998 Derivation of quasi-geostrophic potential vorticity equations
B. Desjardins, E. Grenier
Adv. Differential Equations 3(5): 715-752 (1998).

Abstract

In this paper we derive the quasi-geostrophic potential vorticity equations, starting from primitive type equations, as the Rossby number goes to zero, and prove the convergence as long as the limit system has strong enough solutions. We in particular take account of the boundary layers and investigate the existence of global weak solutions of the limit system with physical boundary conditions.

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B. Desjardins. E. Grenier. "Derivation of quasi-geostrophic potential vorticity equations." Adv. Differential Equations 3 (5) 715 - 752, 1998.

Information

Published: 1998
First available in Project Euclid: 18 April 2013

zbMATH: 0967.76096
MathSciNet: MR1665870

Subjects:
Primary: 35B25, 76U05, 76V05, 86A05, 86A10

Rights: Copyright © 1998 Khayyam Publishing, Inc.

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Vol.3 • No. 5 • 1998
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