Vortex rigid motion in quasi-geostrophic shallow-water equations

2022/02/01 by Emeric Roulley, Roulley, Emeric
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP

paper · pdf · doi:10.48550/arxiv.2202.00404

31 pages

arxiv created 2022/02/01 · arxiv updated 2022/02/02

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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