Seminars are held Mondays from 2:30 - 3:30 PM in CULM 611 and/or Zoom, unless otherwise noted.
For questions about the seminar schedule, please contact Thi Phong Nguyen.
February 27
Jiajie Chen, Courant Institute, New York University
Singularity Formation in Fluids
Whether the 3D incompressible Euler equations can develop a finite-time singularity from smooth initial data is a long-standing open problem in mathematical fluid mechanics. In this talk, I will begin by providing an overview of this problem and then introduce a framework for stable, nearly self-similar blowup, developed in joint work with Tom Hou (Caltech). Using this framework, we establish singularity formation in the incompressible Euler equations with smooth data and boundary. Additionally, I will briefly present recent results on vorticity blowup in compressible Euler equations and beyond, using the self-similar blowup method.