Spacetime stationary solutions for the random forced Burgers equation
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If you have a question about this talk, please contact Mustapha Amrani.
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 spacetime 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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