paper

Exponential mixing for the white - forced damped nonlinear wave equation

arXiv:1404.4697

Abstract

The paper is devoted to studying the stochastic nonlinear wave (NLW) equation in a bounded domain D R3. We show that the Markov process associated with the flow of solution has a unique stationary measure , and the law of any solution converges to with exponential rate in the dual-Lipschitz norm

32 pages