The existence of global attractors for 2D Navier-Stokes equations in Hk spaces

被引：0
|
作者：
Yin Di Zhang
Ling Yu Song
Tian Ma
机构：
[1] Xi’an Jiaotong University,Faculty of Science
[2] Chang’an University,School of Science
[3] Si’chuan University,Mathematical College
来源：
Acta Mathematica Sinica, English Series | 2009年 / 25卷
关键词：
Navier-Stokes equations; semigroup of operator; global attractor; regularity of attractor; 35B40; 35B41;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we prove that the 2D Navier-Stokes equations possess a global attractor in Hk(Ω, R2) for any k ≥ 1, which attracts any bounded set of Hk(Ω, R2) in the Hk-norm. The result is established by means of an iteration technique and regularity estimates for the linear semigroup of operator, together with a classical existence theorem of global attractor. This extends Ma, Wang and Zhong’s conclusion.
引用
收藏
相关论文
共 50 条
12345