### Space-time stationary solutions for the random forced Burgers equation

Khanin, K *(University of Toronto)*

Tuesday 18 September 2012, 14:20-15:00

Meeting Room 4, CMS

#### Abstract

We construct stationary solutions for Burgers equation with random forcing in the absence of periodicity or any other compactness assumptions. In particular, for the forcing given by a homogeneous Poissonian point field in space-time we prove that there is a unique global solution with any prescribed average velocity. We also discuss connections with the theory of directed polymers in dimension 1+1 and the KPZ scalings.