Acta mathematica scientia,Series B ›› 2011, Vol. 31 ›› Issue (2): 567-575.doi: 10.1016/S0252-9602(11)60257-9

• Articles • Previous Articles     Next Articles

RANDOM ATTRACTOR FOR A TWO-DIMENSIONAL INCOMPRESSIBLE NON-NEWTONIAN FLUID\\ WITH MULTIPLICATIVE NOISE

 ZHAO Cai-De, LI Yong-Sheng, ZHOU Sheng-Fan   

  1. School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan |430074, China;Department of Mathematics and Information Science, Wenzhou University, Wenzhou 325035, China School of Mathematical Sciences, South China University of Technology, Guangzhou 510640, China Mathematics and Science College, Shanghai Normal University, Shanghai 200234, China
  • Received:2009-04-02 Revised:2009-09-07 Online:2011-03-20 Published:2011-03-20
  • Supported by:

    Sponsored by the National NSF (10901121, 10826091, 10771074, and 10771139), NSF for Postdoctors in China (20090460952), NSF of
    Zhejiang Province (Y6080077), NSF of Guangdong Province (004020077),  NSF of Wenzhou University (2008YYLQ01), also by Zhejiang youth teacher training project and Wenzhou 551project

Abstract:

This article proves that the random dynamical system generated by a two-dimensional incompressible non-Newtonian fluid with multiplicative noise has a global random attractor, which is a random compact set absorbing any bounded nonrandom subset of the
phase space.

Key words: Random attractor, multiplicative noise, non-Newtonian fluid

CLC Number: 

  • 35B40
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