Advances in Differential Equations

Derivation of quasi-geostrophic potential vorticity equations

B. Desjardins and E. Grenier

Full-text: Access denied (no subscription detected) We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

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.

Article information

Source
Adv. Differential Equations Volume 3, Number 5 (1998), 715-752.

Dates
First available in Project Euclid: 18 April 2013

Permanent link to this document
https://projecteuclid.org/euclid.ade/1366292559

Mathematical Reviews number (MathSciNet)
MR1665870

Zentralblatt MATH identifier
0967.76096

Subjects
Primary: 86A05: Hydrology, hydrography, oceanography [See also 76Bxx, 76E20, 76Q05, 76Rxx, 76U05] 35B25: Singular perturbations 76U05: Rotating fluids 76V05: Reaction effects in flows [See also 80A32] 86A10: Meteorology and atmospheric physics [See also 76Bxx, 76E20, 76N15, 76Q05, 76Rxx, 76U05]

Citation

Desjardins, B.; Grenier, E. Derivation of quasi-geostrophic potential vorticity equations. Adv. Differential Equations 3 (1998), no. 5, 715--752. https://projecteuclid.org/euclid.ade/1366292559.


Export citation