Journal of Function Spaces (Jan 2018)

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

  • Xiaoyao Jia,
  • Xiaoquan Ding

DOI
https://doi.org/10.1155/2018/3105239
Journal volume & issue
Vol. 2018

Abstract

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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 transform the stochastic equation into a random equation and then obtain the existence of a random attractor for random equation. Then conjugation relation between two random dynamical systems implies the existence of a random attractor for the stochastic equation. At last, we get the upper semicontinuity of random attractor.