Uniqueness of axisymmetric viscous flows originating from circular vortex filaments

In this talk, we outline the existence and uniqueness of axisymmetric solution to the Navier Stokes equation with vortex filament initial data established by Gallay and Sverak. This work is connected to a recent important result by the same authors establishing long time stability of the Oseen vortex in 3D by the same authors.

Xunzi Xie is a first year PhD student at UBC.