Pullback exponential attractors and a subquintic wave equation Ⅰ

主题:Pullback exponential attractors and a subquintic wave equation Ⅰ~Ⅱ

主讲人:Ma Tofu

时间:2022-10-25 19:00:00

地点:腾讯会议 748-699-745

组织单位:理学院数学系

主讲人简介:

Professor Ma Tofu is from University of Brasilia, works on wave equations.

内容摘要:

In this series of lectures, we recall the concept of exponential at- tractors and introduce a recent existence theory (by Carvalho and Sonner) which is specially dedicated to wave type equa- tions. It can be used for either autonomous or non-autonomous systems. Then we apply the theory to some weakly damped Timoshenko like systems. Our main concern is the existence of finite-dimensional dynamics of subquintic wave equations. To this end we present a new proof for the well-posedness of a non- autonomous subquintc wave equation and then apply above theory to show the existence of a pullback exponential attractor. Finally, we also present some recent results and open problems.

主持人:秦玉明

撰写:李学元