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Differential Equations Seminar

Singularity formation for 2D Boussinesq and 3D Euler equations with boundary and some related 1D models
Thursday, January 16, 2020
4:00-5:00 PM
4088 East Hall Map
In this talk, we will discuss recent results on stable self-similar singularity formation for the 2D Boussinesq and singularity formation for the 3D Euler equations in the presence of the boundary with $C^{1,\alpha}$ initial data for the velocity field that has finite energy. The blowup mechanism is based on the Hou-Luo scenario of a potential 3D Euler singularity. We will also discuss briefly some 1D models for the 3D Euler equations that develop stable self-similar singularity in finite time. For these models, the regularity of the initial data can be improved to $C_c^{\infty}$. Some of the results are joint work with Thomas Hou and De Huang. Speaker(s): Jiajie Chen (Cal Tech)
Building: East Hall
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Department of Mathematics