Doubly Connected $V$ -States for the Planar Euler Equations

Francisco de la Hoz, Taoufik Hmidi, Joan Mateu, Joan Verdera

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Source: Crossref

Published: Jan 1, 2016

DOI: 10.1137/140992801

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Source abstract

We prove existence of doubly connected $V$ -states for the planar Euler equations which are not annuli. The proof proceeds by bifurcation from annuli at simple eigenvalues. The bifurcated $V$ -states we obtain enjoy an $m$ -fold symmetry for some $m \geq 3$ .

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