Thu, Feb 10, 2022, 4:30 pm
Zoom link: https://princeton.zoom.us/j/4745473988
The rigid body rotation around a fixed axis is a distinguished, stationary solution of the incompressible 3d Euler equations. We show its stability with respect to small, axisymmetric perturbations. The resulting global, dynamical solutions have non-vanishing swirl and Sobolev regularity, and scatter linearly to the uniformly rotating equilibrium due to a dispersive effect in the linearized Euler-Coriolis system.
This is joint work with Y. Guo and B. Pausader (Brown University).
Global axisymmetric Euler flows with rotation