Stochastic homogenization of the Landau–Lifshitz–Gilbert equation

被引：0
作者：
François Alouges
Anne de Bouard
Benoît Merlet
Léa Nicolas
机构：
[1] Institut Polytechnique de Paris,CMAP, Ecole polytechnique, CNRS
[2] Université de Lille,LPP, CNRS UMR 8524
[3] Team RAPSODI,undefined
来源：
Stochastics and Partial Differential Equations: Analysis and Computations | 2021年 / 9卷
关键词：
Micromagnetics; Homogenization; Landau-Lifshitz equations; Harmonic maps;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Following the ideas of Zhikov and Piatnitski (Izv Math 70(1):19–67, 2006), 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–Gilbert equation. These equations have strong nonlinear features, and in general their solutions are not unique.
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页码：789 / 818
页数：29
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