MPA

Seminar

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.