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Singularity formation in fluids
Special Events| Speaker: | Jiajie Chen, Courant Institute, New York University |
| Related Webpage: | https://jiajiechen94.github.io/ |
| Location: | 1147 MSB |
| Start time: | Fri, Nov 15 2024, 4:10PM |
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.
Reception at 3:45pm at MSB 1147