On ergodic invariant measures for the stochastic Landau-Lifschitz-Gilbert equation in 1D

Emanuela Gussetti

We establish existence of an ergodic invariant measure on $H^1(D,{\mathbb{R}}^3)\cap L^2(D,{\mathbb{S}}^2)$ for the stochastic Landau-Lifschitz-Gilbert equation on a bounded one dimens…