Doubly connected V-states for the planar Euler equations
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 a m-fold symmetry for some m 3. The existence of doubly connected V-states of strict 2-fold symmetry remains open.
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