Singularity formation in fluids

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Jiajie Chen, New York University
Fine Hall 322

Please note different time and location.

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 how several methods and insights developed from incompressible fluids can be generalized to establish vorticity blowup in compressible Euler equations and beyond.