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Talk

On mixing for circular flows

  • Christian Zillinger (University of Southern California, Los Angeles)
Augusteum - A314 Universität Leipzig (Leipzig)

Abstract

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.

Anne Dornfeld

MPI for Mathematics in the Sciences Contact via Mail

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