Analysis Seminar

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Singularity formation in fluids

Speaker: Jiajie Chen, New York University

Location: Warren Weaver Hall 1302

Date: Thursday, October 31, 2024, 11 a.m.

Synopsis:

Whether the 3D incompressible Euler equations can develop a finite-time singularity from smooth initial data is an outstanding open problem in mathematical fluid mechanics. In this talk, I will discuss singularity formation in the incompressible Euler equations with smooth data and boundary and introduce a framework for stable, nearly self-similar blowup. Additionally, I will briefly present more recent results on vorticity blowup in compressible Euler equations and beyond, using self-similar analysis.

 

This talk is mainly based on joint works with Giorgio Cialdea, Tom Hou, De Huang, Steve Shkoller, and Vlad Vicol.