数学物理学报(英文版) ›› 2011, Vol. 31 ›› Issue (2): 529-540.doi: 10.1016/S0252-9602(11)60253-1

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RANDOM ATTRACTORS FOR A STOCHASTIC HYDRODYNAMICAL EQUATION IN HEISENBERG PARAMAGNET

郭柏灵2,郭春晓1,2,蒲学科2,3   

  1. 1. Department of Mathematics, China University of Mining and Technology Beijing,  Beijing 100083, China;
    2. Institute of Applied Physics and Computational Mathematics, Beijing 100088, China;
    3. College of Mathematics and Physics, Chongqing University, Chongqing 400044, China
  • 收稿日期:2009-04-28 出版日期:2011-03-20 发布日期:2011-03-20

RANDOM ATTRACTORS FOR A STOCHASTIC HYDRODYNAMICAL EQUATION IN HEISENBERG PARAMAGNET

 GUO Bai-Ling2, GUO Chun-Xiao1,2, PU Xua-Ke2,3   

  1. 1. Department of Mathematics, China University of Mining and Technology Beijing,  Beijing 100083, China;
    2. Institute of Applied Physics and Computational Mathematics, Beijing 100088, China;
    3. College of Mathematics and Physics, Chongqing University, Chongqing 400044, China
  • Received:2009-04-28 Online:2011-03-20 Published:2011-03-20

摘要:

This article studies the asymptotic behaviors of the solution for a stochastic hydrodynamical equation in Heisenberg paramagnet in a
two-dimensional periodic domain. We obtain the existence of random attractors in H1.

关键词: Stochastic partial differential equations,  Heisenberg paramagnet, Random attractor

Abstract:

This article studies the asymptotic behaviors of the solution for a stochastic hydrodynamical equation in Heisenberg paramagnet in a
two-dimensional periodic domain. We obtain the existence of random attractors in H1.

Key words: Stochastic partial differential equations,  Heisenberg paramagnet, Random attractor

中图分类号: 

  • 35Qxx