文献类型：期刊文献

英文题名：PULLBACK DYNAMICAL BEHAVIORS OF THE NON-AUTONOMOUS MICROPOLAR FLUID FLOWS WITH MINIMALLY REGULAR FORCE AND MOMENT

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

卷号：16

期号：4

起止页码：1043

外文期刊名：COMMUNICATIONS IN MATHEMATICAL SCIENCES

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000448798000006)】；

语种：英文

外文关键词：pullback attractor; flattening property; semigroup method; epsilon-regularity method; enstrophy equality

摘要：In this paper, we investigate the pullback asymptotic behaviors of solutions for the nonautonomous micropolar fluid flows in 2D bounded domains. Firstly, when the force and the moment have a little additional regularity, we make use of the semigrouy method and epsilon-regularity method to obtain the existence of a compact pullback absorbing family in (H) over cap and (V) over cap, respectively. Then, applying the global well-posedness and the estimates of the solutions, we verify the flattening property (also known as the "Condition (C)") of the generated evolution process for the universe of fixed bounded sets and for another universe with a tempered condition in spaces (H) over cap and (V) over cap, respectively. Further, we show the existence and regularity of the pullback attractors of the evolution process. Compared with the regularity of the force and the moment of [31], here we only need the minimal regularity of the force and the moment.