Title: Axi-symmetrization near point vortex solutions for the 2D Euler equation
Abstract: In joint work with Hao Jia, we prove a theorem on the asymptotic stability of point vortex solutions to the Euler equation in 2 dimensions. More precisely, we show that a small compactly supported perturbation of a point vortex leads to a global solutions to the Euler equation in the plane, which converges weakly to a radial profile, with respect to the vortex. The position of the point vortex, which is time dependent, stabilizes rapidly and becomes the center of the final, radial profile.
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