Quebec Mathematical Sciences Colloquium

December 9, 2022 from 15:30 to 16:30 (Montreal/EST time) On location

Ergodic theory of the stochastic Burgers equation

Colloquium presented by Yuri Bakhtin (New York University)


I am interested in stationary distributions for the Burgers equation with random forcing. I will first consider an oversimplified random dynamical system to illustrate the power of a general approach based on the so-called pullback procedure. For the Burgers equation, which is a basic evolutionary stochastic PDE of Hamilton-Jacobi type related to fluid dynamics, growth models, and the KPZ equation, one can realize this approach via studying long-term properties of random Lagrangian action minimizers and directed polymer measures in random environments. The compact space case was studied in 2000's. This talk is based on my work on the noncompact case, joint with Eric Cator, Kostya Khanin, Liying Li.


Centre de recherches mathématiques Pavillon André-Aisenstadt, Université de Montréal Room 5340