Invariant measures for Burgers equation with stochastic forcing

Weinan E, K. M. Khanin, A. E. Mazel +1

In this paper we study the following Burgers equation du/dt + d/dx (u^2/2) = epsilon d^2u/dx^2 + f(x,t) where f(x,t)=dF/dx(x,t) is a random forcing function, which is periodic in x…