非零各向异性能量随机Landau-Lifshitz-Gilbert方程的弱解

Applied mathematics research express : AMRX Pub Date : 2008-12-31 DOI:10.1093/AMRX/ABW003

Z. Brzeźniak, B. Goldys

{"title":"非零各向异性能量随机Landau-Lifshitz-Gilbert方程的弱解","authors":"Z. Brzeźniak, B. Goldys","doi":"10.1093/AMRX/ABW003","DOIUrl":null,"url":null,"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}.","PeriodicalId":89656,"journal":{"name":"Applied mathematics research express : AMRX","volume":"13 1","pages":"334-375"},"PeriodicalIF":0.0000,"publicationDate":"2008-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"17","resultStr":"{\"title\":\"Weak solutions of the Stochastic Landau–Lifshitz–Gilbert Equations with nonzero anisotrophy energy\",\"authors\":\"Z. Brzeźniak, B. Goldys\",\"doi\":\"10.1093/AMRX/ABW003\",\"DOIUrl\":null,\"url\":null,\"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}.\",\"PeriodicalId\":89656,\"journal\":{\"name\":\"Applied mathematics research express : AMRX\",\"volume\":\"13 1\",\"pages\":\"334-375\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2008-12-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"17\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Applied mathematics research express : AMRX\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1093/AMRX/ABW003\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied mathematics research express : AMRX","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1093/AMRX/ABW003","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 17

摘要

研究了具有非零各向异性能量和多维噪声的随机Landau-Lifschitz-Gilbert方程。证明了弱解的存在性，并证明了弱解的一些规律。我们的论文是由Kohn等人\cite{Kohn_2005}和leli等人{}\cite{LeBris_2008}研究的随机LLGEs或具有约束的一般随机微分方程的有限维研究激发的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

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

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}.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Applied mathematics research express : AMRX

自引率

0.00%

发文量