Exponential mixing for the white - forced damped nonlinear wave equation

Davit Martirosyan (1)

1 AGM - UMR 8088 - Analyse, Géométrie et Modélisation

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 μ, and the law of any solution converges to μ with exponential rate in the dual-Lipschitz norm

Mots clés: NLW equation; stationary measure; exponential mixing

Domaines: Equations aux dérivées partielles [math.AP]

Davit Martirosyan. Exponential mixing for the white - forced damped nonlinear wave equation. 2014. ⟨hal-00980358⟩