November 13, 2020
Singularity formation in incompressible fluids and related models
Jiajie Chen
California Institute of Technology
Abstract：
In this talk, we will discuss recent applications of the dynamic rescaling formulation (modulation technique) in singularity formation in incompressible fluids and related models. We will discuss several results on the generalized Constantin-Lax-Majda model and some ideas in constructing finite time asymptotically self-similar singularity for the 2D Boussinesq equations with boundary and C^{1,\alpha} initial data for the velocity field that has finite energy. We will also discuss the connection between the singularity formation in the Hou-Luo model for the 3D Euler equations and that in the 2D Boussinesq equations with boundary. Some of the results are joint with Tom Hou and De Huang.
Recorded video for the talk (click)
