Weak Solutions of the Stochastic Landau-Lifshitz-Gilbert Equation
Probability
2009-01-05 v1 Analysis of PDEs
Abstract
The Landau-Lifshitz-Gilbert equation perturbed by a multiplicative space-dependent noise is considered for a ferromagnet filling a bounded three-dimensional domain. We show the existence of weak martingale solutions taking values in a sphere . The regularity of weak solutions is also discussed. Some of the regularity results are new even for the deterministic Landau-Lifshitz-Gilbert equation.
Keywords
Cite
@article{arxiv.0901.0039,
title = {Weak Solutions of the Stochastic Landau-Lifshitz-Gilbert Equation},
author = {Z. Brzezniak and B. Goldys},
journal= {arXiv preprint arXiv:0901.0039},
year = {2009}
}