Dong Li

I will explain recent joint work with Xiaoyi Zhang on threshold solutions to critical nonlinear Schrodinger equations. These results are analogues of Liouville-type theorems in the dispersive setting. I will cover mainly the mass-critical case. Time...

I will survey some recent results on several types of aggregation equations. These are continuum models used to describe the swarming phenomenon in biology. I will focus on mathematical issues related to the basic understanding of these equations...

The Skyrme model is one of the important nonlinear sigma models in quantum field theory. In this talk I will report some recent progress on the dynamics of Skyrmions, focusing on the (3+1) space-time case.

Abstract I will explain some recent results (joint work with Ya.G. Sinai) on the bifurcation of solutions to the Navier-Stokes system. We consider the stream function and construct a set of initial data such that initial critical points bifurcate...