The asymptotic attractor of the damped Navier-Stokes syetem
Received:April 12, 2019  Revised:April 16, 2019
Key Word: Asymptotic attractor   Asymptotic solution sequence   Damped Navier-Stokes equation  
Fund ProjectL:the National Science Foundation of China(11701399)
Author NameAffiliationE-mail
Qian Jiang College of Mathematics Science, Sichuan Normal University 877830105@qq.com 
Tingwei Ruan College of Mathematics Science, Sichuan Normal University  
Hong Luo College of Mathematics Science, Sichuan Normal University lhscnu@163.com 
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Abstract:
      In this paper, the asymptotic attractor of the 2-D damped and driven Navier-Stokes equation is studied by constructing a finite-dimensional solution sequence, and it is proved that this solution sequence approximates global attractor infinitely after a long time. The dimension estimation of the asymptotic attractor is obtained in the end.
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