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Random attractor for a two-dimensional incompressible non-Newtonian fluid with multiplicative noise
Authors:Zhao Caidi  Li YongshengZhou Shengfan
Affiliation:a School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, China
b Department of Mathematics and Information Science, Wenzhou University, Wenzhou 325035, China
c School of Mathematical Sciences, South China University of Technology, Guangzhou 510640, China
d Mathematics and Science College, Shanghai Normal University, Shanghai 200234, China
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.
Keywords:Random attractor   multiplicative noise   non-Newtonian fluid
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