## PIMS/AMI Seminar: Dong Li

- Date: 04/16/2012
- Time: 15:00

Dong Li

(Department of Mathematics, University of British Columbia)

University of Alberta

“Bifurcation of solutions for the Navier-Stokes system”

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 from $1$ to $2$ and then to $3$ critical points in finite time. The bifurcation takes place in a small neighborhood of the origin. Our construction does not require any symmetry assumptions or the existence of special fixed points. For another set of initial data we show that 3 critical points merge into 1 critical point in finite time. We also construct a set of initial data so that bifurcation can be generated by the Navier-Stokes flow and do not require the existence of an initial critical point.

Refreshments will be served in CAB 649 at 2:30 p.m.

Location: CAB 281