(LECTURE) Singularity formation in incompressible fluids

Abstract: I will discuss various aspects of singularity formation in the incompressible Euler equation in two and three dimensions. In two dimensions, important questions relate to the infinite time growth of smooth solutions, filamentation of the vorticity, and the genericity of this phenomenon. In three dimensions, we will discuss two methods that have been used to rigorously construct finite time singularities. In both contexts, an important theme is the identification of stable growth mechanisms.

analysis of PDEs

Audience: researchers in the topic

Open PDE and analysis seminar and lectures