Acta mathematica scientia, Series B >
RANDOM ATTRACTOR FOR A TWO-DIMENSIONAL INCOMPRESSIBLE NON-NEWTONIAN FLUID\\ WITH MULTIPLICATIVE NOISE
Received date: 2009-04-02
Revised date: 2009-09-07
Online 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
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
ZHAO Cai-De , LI Yong-Sheng , ZHOU Sheng-Fan . RANDOM ATTRACTOR FOR A TWO-DIMENSIONAL INCOMPRESSIBLE NON-NEWTONIAN FLUID\\ WITH MULTIPLICATIVE NOISE[J]. Acta mathematica scientia, Series B, 2011 , 31(2) : 567 -575 . DOI: 10.1016/S0252-9602(11)60257-9
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