Weak solutions of the Stochastic Landau–Lifshitz–Gilbert Equations with nonzero anisotrophy energy | Zendy

Zdzisław Brzeźniak | Zendy; Liang Li | Zendy

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Weak solutions of the Stochastic Landau–Lifshitz–Gilbert Equations with nonzero anisotrophy energy

Author(s) -

Zdzisław Brzeźniak,

Liang Li

Publication year - 2016

Publication title -

applied mathematics research express

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.763

H-Index - 20

eISSN - 1687-1200

pISSN - 1687-1197

DOI - 10.1093/amrx/abw003

Subject(s) - landau–lifshitz–gilbert equation , stochastic differential equation , anisotropy , energy (signal processing) , mathematical physics , physics , noise (video) , mathematics , statistical physics , mathematical analysis , quantum mechanics , computer science , magnetic field , artificial intelligence , magnetization , image (mathematics)

We study a stochastic Landau-Lifschitz-Gilbert Equations with non-zero anisotrophy energy and multidimensional noise. We prove the existence and some regularities of weak solution proved. Our paper is motivated by finite-dimensional study of stochastic LLGEs or general stochasric differential equations with constraints studied by Kohn et al \cite{Kohn_2005} and Leli{\`e}vre et al \cite{LeBris_2008}.

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