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arXiv · 2202.00404

Vortex rigid motion in quasi-geostrophic shallow-water equations

Emeric Roulley
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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.

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Emeric Roulley. 2022-02-01. Vortex rigid motion in quasi-geostrophic shallow-water equations. https://arxiv.org/abs/2202.00404

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