Smooth solutions for a stochastic hydrodynamical equation in Heisenberg paramagnet

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• 作者：Xue Ke Pu (1) xuekepu@tom.com
  Bo Ling Guo (2) gbl@iapcm.ac.cn
  Yong Qian Han (2) han_yongqian@iapcm.ac.cn
• 关键词：Stochastic partial differential equations – ; Heisenberg paramagnet – ; smooth solution – ; difference method
• 刊名：Acta Mathematica Sinica
• 出版年：2011
• 出版时间：September 2011
• 年：2011
• 卷：27
• 期：9
• 页码：1855-1868
• 全文大小：241.1 KB
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• 作者单位：1. College of Mathematics and Physics, Chongqing University, Chongqing, 400044 P. R. China2. Institute of Applied Physics and Computational Mathematics, P. O. Box 8009, Beijing, 100088 P. R. China
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  Chinese Library of Science
  
• 出版者：Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society, co-published
• ISSN：1439-7617

文摘

In this article, we consider a stochastic hydrodynamical equation in Heisenberg paramagnet driven by additive noise. We prove the existence and uniqueness of smooth solutions to this equation with difference method.