# "九章讲坛"第486讲 — Sergey Zelik 教授

We discuss the global attractors for the damped 3D Euler--Bardinaequations with the regularization parameter $\alpha>0$ and Ekmandamping coefficient$\gamma>0$ endowed with periodic boundaryconditions as well as their damped Euler limit $\alpha\to0$. Weshow that despite the possible non-uniqueness ofsolutions of thelimit Euler system and even the non-existence of such solutions inthe distributional sense, the limit dynamics of the correspondingdissipative solutions introduced by P. Lions can be described interms of attractors of the properly constructed trajectorydynamical system. Moreover, the convergence of the attractors $\CalA(\alpha)$ of the regularized system to the limit trajectoryattractor$\CalA(0)$ as $\alpha\to0$ is also established in termsof the upper semicontinuity in the properly defined functional space.

Sergey Zelik教授简介

Sergey Zelik，兰州大学高端人才特聘教授。于1989-1994进入莫斯科大学数学与物理学院学习，1994-1998在莫斯科国立大学攻读博士，师从Mark Vishik院士，于1998年获得数学博士学位，2004年获得数学物理科学博士学位(Habilitation)；2003-2005在德国Stuttgart大学作洪堡学者，2015年晋升为教授。Sergey Zelik教授在无穷维动力系统吸引子相关问题的研究取得了较好的工作，特别是耗散系统吸引子的存在性、正则性问题，以及吸引子降维问题等。先后在CPAM，Mem.AMS，ARMA，Trans.AMS等国际学术期刊上发表学术论文近百篇。

2021年12月30日