APDE seminar@UPV/EHU: Vorticity blowup in 2D compressible Euler equations

Abstract

In this talk, I will discuss a finite-time vorticity blowup result for the 2D compressible Euler equations, with smooth, localized, and non-vacuous initial data. The vorticity blowup occurs at the time of the first singularity, and is accompanied by an axisymmetric implosion in which the swirl velocity enjoys full stability, as opposed to finite co-dimension stability. This is a joint work with Jiajie Chen, Steve Shkoller, and Vlad Vicol.