Random Attractors for Stochastic Retarded 2D-Navier-Stokes Equations with Additive Noise

摘要

In this paper, the existence and the upper semicontinuity of a pullback attractor for stochastic retarded 2D-Navier-Stokes equation on a bounded domain are obtained.We first transformthe stochastic equation into a randomequation and then obtain the existence of a randomattractor for randomequation.Then conjugation relation between two randomdynamical systems implies the existence of a random attractor for the stochastic equation. At last, we get the upper semicontinuity of random attractor.