Bifurcation of rotating patches from Kirchhoff vortices

2015/08/19 by Taoufik Hmidi, Hmidi, Taoufik, Joan Mateu +1 · 3 citations
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP

paper · pdf · doi:10.48550/arxiv.1508.04589

21 pages

arxiv created 2015/09/14 · arxiv updated 2015/09/15

Abstract

In this paper we prove the existence of countable branches of rotating patches bifurcating from the ellipses at some implicit angular velocities.

Cited by

• Desingularization of nondegenerate rotating vortex patches
• Large-amplitude periodic solutions to the steady Euler equations with piecewise constant vorticity
• Uniformly Rotating Euler Configurations with Multiple Vorticity Holes

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