Weak solutions of the Stochastic Landau-Lifschitz-Gilbert Equations with non-zero anisotrophy energy

Zdzislaw Brzezniak; Liang Li

doi:10.1093/amrx/abw003

Weak solutions of the Stochastic Landau-Lifschitz-Gilbert Equations with non-zero anisotrophy energy

Zdzislaw Brzezniak, Liang Li

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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}.

Original language	English
Pages (from-to)	334-375
Number of pages	43
Journal	Applied Mathematics Research eXpress
Volume	2016
Issue number	2
DOIs	https://doi.org/10.1093/amrx/abw003
Publication status	Published - 3 May 2016

Bibliographical note

© The Author(s) 2016. Published by Oxford University Press. This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details.

Keywords

stochastic partial differential equations
ferromagnetism
anisotrophy
heat flow

Access to Document

10.1093/amrx/abw003

ZBLL14April2016
© The Author(s) 2016. Published by Oxford University Press. This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details.
Accepted author manuscript, 232 KB

Cite this

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