Stochastic homogenization of the Landau-Lifshitz-Gilbert equation
Analysis of PDEs
2019-02-18 v1 Probability
Abstract
Following the ideas of V. V. Zhikov and A. L. Pyatnitski, and more precisely the stochastic two-scale convergence, this paper establishes a homogenization theorem in a stochastic setting for two nonlinear equations : the equation of harmonic maps into the sphere and the Landau-Lifschitz equation. These equations have strong nonlinear features, in particular, in general their solutions are not unique.
Keywords
Cite
@article{arxiv.1902.05743,
title = {Stochastic homogenization of the Landau-Lifshitz-Gilbert equation},
author = {François Alouges and Anne De Bouard and Benoît Merlet and Léa Nicolas},
journal= {arXiv preprint arXiv:1902.05743},
year = {2019}
}