Vortex rigid motion in quasi-geostrophic shallow-water equations

Article type: Research Article

Authors: Roulley, Emeric^{; *}

Affiliations: Univ Rennes, CNRS, IRMAR – UMR 6625, F-35000 Rennes, France

Correspondence: [*] Corresponding author. E-mail: emeric.roulley@univ-rennes1.fr.

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.

Keywords: V-states, vortex patches, bifurcation

DOI: 10.3233/ASY-221817

Journal: Asymptotic Analysis, vol. 133, no. 3, pp. 397-446, 2023