Recent Progress on Vortex Solutions of Incompressible Flow

Changjun Zou, Sichuan University

Jan 29, 2023 at 11:30am-12:30pm (Zoom: 972 8792 6728)

We will talk about the recent progress on vortex solutions of incompressible flow, especially for the Euler equations and the gSQG equation (the generalized surface quasi-geostrophic equation). There are mainly three mathematical methods to deal with this topic of PDE: The stream function method, the vorticity method, and the contour dynamics method. Each of these approaches takes several advantages in special aspects of studying the vortex solutions. An introduction of relevant mathematical tools and some recent results via these methods will be given in this talk.