Presented By: Department of Mathematics
Differential Equations Seminar
Singularity formation for 2D Boussinesq and 3D Euler equations with boundary and some related 1D models
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)
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