长江大学孙文龙副教授学术报告

题    目：Pullback dynamical behaviors of the non-autonomous micropolar fluid flows with minimally regular force and moment

报告人：孙文龙  副教授

主持人：赵才地 教授

时    间： 2019年11月8日上午09：00——10：00

地    点：37000gcom威尼斯三号楼二楼学术报告厅 （3B205）

【摘要】 In this paper, we investigate the pullback asymptotic behaviors of solutions for the non-autonomous micropolar fluid flows in 2D bounded domains. Firstly, when the force and the moment have a little additional regularity, we make use of the semigroup method and $\epsilon$-regularity method to obtain the existence of a compact pullback absorbing family in H and V , respectively. Then, applying the global well-posedness and the estimates of the solutions, we  verify the flattening property of the generated evolution process for the universe of fixed bounded sets and for another universe with a tempered condition in spaces H and V , 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.

孙文龙博士简介

孙文龙，长江大学教师，华东理工大学博士，上海市优秀毕业生，博士期间曾赴美国奥本大学公派访学一年，连续两年获得国家奖学金，在NONLINEAR ANAL-REAL、COMMUN. MATH. SCI.、J MATH ANAL APPL、TOPOL METHOD NONL AN等期刊上发表SCI论文十多篇。主要研究方向为偏微分方程—非线性发展方程与无穷维动力系统。