PDE Geometric Analysis seminar
The seminar will be held in room 901 of Van Vleck Hall on Mondays from 3:30pm - 4:30pm, unless indicated otherwise.
Seminar Schedule Fall 2014
|September 15||Greg Kuperberg (UC-Davis)||Cartan-Hadamard and the Little Prince||Viaclovsky|
|September 22 (joint with Analysis Seminar)||Steven Hofmann (U. of Missouri)||
|Oct 6th,||Xiangwen Zhang (Columbia University)||
|October 13||Xuwen Chen (Brown University)||
|October 20||Kyudong Choi (UW-Madison)||
Finite time blow up for 1D models for the 3D Axisymmetric Euler Equations / the
2D Boussinesq system
|October 27||Chanwoo Kim (UW-Madison)||
|November 10||Philip Isett (MIT)||TBA||C.Kim|
Cartan-Hadamard and the Little Prince.
In connection with the recent proposal for possible singularity formation at the boundary for solutions of the 3d axi-symmetric incompressible Euler's equations / the 2D Boussinesq system (Luo and Hou, 2013), we study models for the dynamics at the boundary and show that they exhibit a finite-time blow-up from smooth data. This is joint work with T. Hou, A. Kiselev, G. Luo, V. Sverak, and Y. Yao.