H<sup>2</sup>-regularity random attractors of stochastic non-Newtonian fluids with multiplicative noise

GUO Chun-Xiao;GUO Bai-Ling;YANG Hui

doi:10.1007/s10483-014-1776-7

Applied Mathematics and Mechanics >

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

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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 date: 2013-06-03

Revised date: 2013-08-21

Online published: 2013-12-27

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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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GUO Chun-Xiao;GUO Bai-Ling;YANG Hui . H²-regularity random attractors of stochastic non-Newtonian fluids with multiplicative noise[J]. Applied Mathematics and Mechanics, 2014 , 35(1) : 105 -116 . DOI: 10.1007/s10483-014-1776-7

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