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Stochastic homogenization of the Landau–Lifshitz–Gilbert equation
- Source :
- Stochastic Partial Differential Equations: Analysis and Computations; December 2021, Vol. 9 Issue: 4 p789-818, 30p
- Publication Year :
- 2021
-
Abstract
- 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.
Details
- Language :
- English
- ISSN :
- 21940401 and 2194041X
- Volume :
- 9
- Issue :
- 4
- Database :
- Supplemental Index
- Journal :
- Stochastic Partial Differential Equations: Analysis and Computations
- Publication Type :
- Periodical
- Accession number :
- ejs58173116
- Full Text :
- https://doi.org/10.1007/s40072-020-00185-4