Uniform Measure Attractors for Non-autonomous Stochastic Evolution Systems

Abstract

This paper is concerned with uniform measure attractors for non-autonomous stochastic evolution systems. We first introduce the concept of uniform measure attractor and then provide a sufficient criterion for existence and uniqueness of such attractors. As an application, we prove the existence and uniqueness of uniform measure attractors for the stochastic Navier–Stokes equations with deterministic almost-periodic forcing and nonlinear diffusion terms.