Affiliation:
1. School of Mathematics and Computer Science, Shangrao Normal University, Shangrao 334001, China
Abstract
This work is a continuation of our previous work [Li et al., Commun. Pure Appl. Anal. 19, 3137 (2020)] on the regular backward compact random attractor. We prove that under certain conditions, the components of the random attractor of a non-autonomous dynamical system can converge in time to those of the random attractor of the limiting autonomous dynamical system in more regular spaces rather than the basic phase space. As an application of the abstract theory, we show that the backward compact random attractors [[Formula: see text] is precompact for each [Formula: see text]] for the non-autonomous stochastic g-Navier–Stokes ( g-NS) equation is backward asymptotically autonomous to a random attractor of the autonomous g-NS equation under the topology of [Formula: see text].
Funder
Education Department of Jiangxi Province
Jiangxi Provincial Department of Science and Technology
Subject
Mathematical Physics,Statistical and Nonlinear Physics