学术信息

Evolutionary system, global attractor, trajectory attractor, and applications

主讲人简介:

卢松松,中山大学数学与计算科学学院副教授,硕士生导师。曾主持国家自然科学基金天元基金、青年基金。

内容摘要:

We will review some resent results on the long-time behavior of the nonautonomous 3D Navier-Stokes equations and general nonautonomous reaction-diffusion systems. The method is based on a new framework of evolutionary systems that deals directly with the notion of a uniform global attractor due to Haraux, and with which a trajectory attractor can be defined for the original system under consideration. The notion of a trajectory attractor was previously established for a system without uniqueness by considering a family of auxiliary systems including the original one. I will also expound on the existence of a strongly compact strong trajectory attractor when the system is asymptotically compact, and how we view the global and trajectory attractors in a unified way. Then, I will explain some problems arising naturally.

讲座主持:秦玉明教授

讲座语言:中文

秦玉明

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