Communications in Mathematical Sciences

Volume 12 (2014)

Number 8

$H^1$-random attractors of stochastic monopolar non-Newtonian fluids with multiplicative noise

Pages: 1565 – 1578

DOI: https://dx.doi.org/10.4310/CMS.2014.v12.n8.a9

Authors

Chunxiao Guo (Department of Mathematics, China University of Mining and Technology, Beijing, China)

Boling Guo (Institute of Applied Physics and Computational Mathematics, Beijing, China)

Abstract

In this paper, the authors study the asymptotic dynamical behavior for stochastic monopolar non-Newtonian fluids with multiplicative noise defined on a two-dimensional bounded domain, and prove the existence of an $H^1$-random attractor for the corresponding random dynamical system. A random attractor is a random compact set absorbing any bounded subset of the phase space $V$.

Keywords

non-Newtonian fluids, random attractor, multiplicative noise

2010 Mathematics Subject Classification

35Q30, 76A05

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Published 14 May 2014