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Applied Mathematics and Mechanics (English Edition) ›› 2014, Vol. 35 ›› Issue (1): 105-116.doi: https://doi.org/10.1007/s10483-014-1776-7

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H2-regularity random attractors of stochastic non-Newtonian fluids with multiplicative noise

郭春晓1，郭柏灵2，杨慧3   

  1. 1. Department of Mathematics, China University of Mining and Technology Beijing, Beijing 100083, P. R. China;
    2. Institute of Applied Physics and Computational Mathematics, Beijing 100088, P. R. China;
    3. College of Mathematics, Yunnan Normal University, Kunming 650500, P. R. China
  • 收稿日期:2013-06-03 修回日期:2013-08-21 出版日期:2014-01-20 发布日期:2013-12-27

H2-regularity random attractors of stochastic non-Newtonian fluids with multiplicative noise

 GUO Chun-Xiao1, GUO Bai-Ling2, YANG Hui3   

  1. 1. Department of Mathematics, China University of Mining and Technology Beijing, Beijing 100083, P. R. China;
    2. Institute of Applied Physics and Computational Mathematics, Beijing 100088, P. R. China;
    3. College of Mathematics, Yunnan Normal University, Kunming 650500, P. R. China
  • Received:2013-06-03 Revised:2013-08-21 Online:2014-01-20 Published:2013-12-27

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摘要： In this paper, the authors study the long time behavior of solutions to stochastic non-Newtonian fluids in a two-dimensional bounded domain, and prove the existence of H2-regularity random attractor.

关键词: random attractor, non-Newtonian fluid, multiplicative noise, Stratonovich process, null

Abstract: In this paper, the authors study the long time behavior of solutions to stochastic non-Newtonian fluids in a two-dimensional bounded domain, and prove the existence of H2-regularity random attractor.

Key words: random attractor, non-Newtonian fluid, multiplicative noise, Stratonovich process, null

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