Speaker
Emanuela Gussetti
(Universität Bielefeld)
Description
In this talk I will present a result concerning the existence of an ergodic invariant measure in $H^1(D,\mathbb{R}^3)\cap L^2(D,\mathbb{S}^2)$ for the stochastic Landau-Lifschitz-Gilbert equation (sLLGe) on a one dimensional interval, with null Neumann boundary conditions. The conclusion is achieved by employing the classical Krylov-Bogoliubov theorem and using techniques from rough path theory.
We use the stationary solutions to the sLLGe to establish the existence of statistical stationary solutions to the Schrödinger map equation and to the Binormal curvature flow, by means of the fluctuation-dissipation method.
The talk is based on https://arxiv.org/abs/2208.02136 and on https://arxiv.org/abs/2501.16499.
