Non-rigid time-periodic vortex patch solutions bifurcating from translating symmetric dipoles are constructed for the 2D Euler equations using Lyapunov-Schmidt reduction and Nash-Moser methods.
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Time-periodic vortices near translating symmetric dipole patches
Non-rigid time-periodic vortex patch solutions bifurcating from translating symmetric dipoles are constructed for the 2D Euler equations using Lyapunov-Schmidt reduction and Nash-Moser methods.