Vortex rigid motion in quasi-geostrophic shallow-water equations
Analysis of PDEs
2022-02-02 v1
Abstract
In this paper, we prove the existence of 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.
Keywords
Cite
@article{arxiv.2202.00404,
title = {Vortex rigid motion in quasi-geostrophic shallow-water equations},
author = {Emeric Roulley},
journal= {arXiv preprint arXiv:2202.00404},
year = {2022}
}
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31 pages