文献类型：期刊文献

英文题名：ASYMPTOTIC BEHAVIOR OF PULLBACK ATTRACTORS FOR NON-AUTONOMOUS MICROPOLAR FLUID FLOWS IN 2D UNBOUNDED DOMAINS

作者：Sun, Wenlong[1];Li, Yeping[1]

机构：[1]East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

年份：2018

外文期刊名：ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000419348400001)】；

基金：We are grateful to two anonymous referees for valuable comments which greatly improved our original manuscript. The research is supported in partial by the National Science Foundation of China (Grant No. 11671134).

语种：英文

外文关键词：Micropolar fluid flow; pullback attractor; truncation function; tempered behavior; upper semicontinuity

摘要：In this article, we investigate the pullback asymptotic behavior of solutions for a non-autonomous micropolar fluid flows in 2D unbounded channel-like domains. First, applying the technique of truncation functions, decomposition of spatial domain, and the energy method, we show the existence of the pullback attractor in the space (H) over cap(Omega) (has L-2-regularity). In fact, we can deduce the existence of pullback attractor in space (V) over cap(Omega) (has H-1-regularity). Also the tempered behavior of the pullback attractor is verified. Moreover, when the spatial domain varies from Omega(m)({Omega(m)}(m)(infinity) = 1 be an expanding sequence of simply connected, bounded and smooth subdomains of Omega such that U-m(infinity) =1 Omega(m) = Omega) to Omega, the upper semicontinuity of the pullback attractor is discussed.