Beale-Kato-Majda type condition for Burgers equation

Speaker: 

Dr. Mikhail Neklyudov

Affiliation: 

UNSW

Date: 

Wed, 26/03/2008 - 11:00am

Venue: 

RC-4082

Abstract: 

In this talk we consider Burgers equation in the torus and the whole space and show that there exists unique global solution if Beale-Kato-Majda type condition is satisfied. In particular, if initial condition and force has gradient form we get global existence and uniqueness of solution and establish new a priori estimate. 

The talk is based on the joint work with Ben Goldys.

School Seminar Series: