Martingale weak solutions of the stochastic Landau-Lifshitz-Bloch equation

DOI10.1016/j.jde.2018.08.038zbMath1423.35474OpenAlexW2888110760WikidataQ129342662 ScholiaQ129342662MaRDI QIDQ2423260

Huaqiao Wang, Song Jiang, Qiang Chang Ju

Publication date: 21 June 2019

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2018.08.038

zbMATH Keywords

Galerkin methodstochastic compactness methodLandau-Lifshitz-Bloch (LLB) equationLandau-Lifshitz-Gilbert(LLG) equationstochastic Landau-Lifshitz martingale weak solution-Bloch equation

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Numerical solutions to stochastic differential and integral equations (65C30) Statistical mechanics of magnetic materials (82D40) Quasilinear parabolic equations (35K59)

Related Items (4)

Wong–Zakai approximations for the stochastic Landau–Lifshitz–Bloch equations ⋮ The energy conservation of the Landau-Lifshitz-Bloch equation ⋮ Existence of a unique solution and invariant measures for the stochastic Landau-Lifshitz-Bloch equation ⋮ Asymptotic behavior for the 1D stochastic Landau–Lifshitz–Bloch equation

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