主题: Pullback dynamics of wave equations with moving boundary主讲人: Ma To Fu地点: 松江校区2号学院楼331理学院报告厅时间: 2017-03-09 11:00:00组织单位: 非线性科学研究所
主讲人简介:Ma To Fu, 巴西圣保罗大学(圣卡洛斯大学)数学与计算机科学学院教授,博士生导师,数学系主任,1998年在葡萄牙里斯本大学获博士学位,承担20余项巴西国家自然科学基金,发表50余篇高水平学术论文,他引超过700次,先后访问10多个国家和地区的大学和研究机构,在30余次国际学术会议上做学术报告,培养10余名博士和博士后人员。
内容摘要:This talk is concerned with long-time dynamics of weakly damped semilinear wave equations defined on domains with moving boundary. Since the boundary is a function of the time variable the problem is intrinsically non-autonomous. Under the hypothesis that the exterior normal to the lateral boundary does not belong to the corresponding light cone, the solution operator of the problem generates an evolution process defined on time-dependent Sobolev spaces. Then, by assuming the domain is expanding, we establish the existence of a minimal pullback attractor with respect to a universe of tempered sets defined by theforcing terms. This is done by presenting an appropriate criterion for asymptotic compactness.
讲座主持:秦玉明 教授
讲座语言:英语