### A stochastic Burgers equation: Bringing together chaos expansion, embedding theorems, and Catalan numbers

Lototsky, S *(Southern California)*

Wednesday 06 January 2010, 14:00-15:00

Seminar Room 1, Newton Institute

#### Abstract

A special stochastic perturbation of the Burgers equation is considered. The nature of the perturbation is such that the solution is not square-integrable, and the growth of the norms at different stochastic scales is described by the Catalan numbers. Many similar equations with quadratic nonlinearity exhibit the same behavior.

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