Abstract:
I will discuss a recent theorem on the asymptotic stability of
point vortex solutions to the full Euler equation in 2 dimensions. More
precisely, we show that a small, Gevrey smooth, and compactly supported
perturbation of a point vortex leads to a global solution of the Euler
equation in 2D, which converges weakly as the time goes to infinity to a
radial profile with respect to a new vortex. The mechanism that leads
to stabilization is mixing and inviscid damping. This is joint work with
Hao Jia. |