Axi‐symmetrization near Point Vortex Solutions for the <scp>2D</scp> Euler Equation

We prove a definitive theorem on the asymptotic stability of point vortex solutions to full Euler equation in 2 dimensions. More precisely, we show that small, Gevrey smooth, and compactly supported perturbation leads global solution 2D, which converges weakly as $t\to\infty$ radial profile with respect vortex. The position vortex, is time dependent, stabilizes rapidly becomes center final, profile. mechanism stabilization mixing inviscid damping.