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Space-time stationary solutions for the random forced Burgers equation

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Mathematics and Physics of Anderson localization: 50 Years After

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.

This talk is part of the Isaac Newton Institute Seminar Series series.

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