Abstract for the talk on 29.06.2017 (15:15 h)

Analysis Seminar

Christian Zillinger (University of Southern California, Los Angeles)
On mixing for circular flows

In recent years, following the seminal works of Villani and Mouhot on Landau damping, phase-mixing as a damping mechanism and inviscid damping in fluid dynamics have attracted much interest. Here, mixing in physical space and weak convergence interact with the Biot-Savart law and results in damping of the velocity field.

In this talk, I will discuss linear stability and damping with optimal decay rates around 2D Taylor-Couette flow between two concentric cylinders and similar circular flows.

A particular focus will be on asymptotic singularity formation at the boundary and stability in weighted spaces.