$H^1$-random attractors of stochastic monopolar non-Newtonian fluids with multiplicative noise
Chunxiao Guo, Boling Guo · Communications in Mathematical Sciences · 2014
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 .