Stochastic homogenization of the Landau–Lifshitz–Gilbert equation
نویسندگان
چکیده
Following the ideas of Zhikov and Piatnitski (Izv Math 70(1):19–67, 2006), more precisely stochastic two-scale convergence, this paper establishes a homogenization theorem in setting for two nonlinear equations: equation harmonic maps into sphere Landau–Lifschitz–Gilbert equation. These equations have strong features, general their solutions are not unique.
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ژورنال
عنوان ژورنال: Stochastics And Partial Differential Equations: Analysis And Computations
سال: 2021
ISSN: ['2194-0401', '2194-041X']
DOI: https://doi.org/10.1007/s40072-020-00185-4