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Vortex rigid motion in quasi-geostrophic shallow-water equations

Vortex rigid motion in quasi-geostrophic shallow-water equations In this paper, we prove the existence of analytic relative equilibria with holes for quasi-geostrophic shallow-water equations. More precisely, using bifurcation techniques, we establish for any m large enough the existence of two branches of m-fold doubly-connected V-states bifurcating from any annulus of arbitrary size. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Asymptotic Analysis IOS Press

Vortex rigid motion in quasi-geostrophic shallow-water equations

Asymptotic Analysis , Volume 133 (3): 50 – Jun 2, 2023

Vortex rigid motion in quasi-geostrophic shallow-water equations

Asymptotic Analysis , Volume 133 (3): 50 – Jun 2, 2023

Abstract

In this paper, we prove the existence of analytic relative equilibria with holes for quasi-geostrophic shallow-water equations. More precisely, using bifurcation techniques, we establish for any m large enough the existence of two branches of m-fold doubly-connected V-states bifurcating from any annulus of arbitrary size.

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Publisher
IOS Press
Copyright
Copyright © 2023 © 2023 – IOS Press. All rights reserved.
ISSN
0921-7134
eISSN
1875-8576
DOI
10.3233/asy-221817
Publisher site
See Article on Publisher Site

Abstract

In this paper, we prove the existence of analytic relative equilibria with holes for quasi-geostrophic shallow-water equations. More precisely, using bifurcation techniques, we establish for any m large enough the existence of two branches of m-fold doubly-connected V-states bifurcating from any annulus of arbitrary size.

Journal

Asymptotic AnalysisIOS Press

Published: Jun 2, 2023

There are no references for this article.