Upper Semicontinuous Trajectory Attractors for 3D Hyperviscous Flow

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• 作者：Abdelhafid Younsi
• 关键词：76D05 ; 35B41 ; 62G35 ; 35B20 ; Navier ; Stokes equations ; attractor ; upper semicontinuity ; hyperviscosity
• 刊名：Mediterranean Journal of Mathematics
• 出版年：2015
• 出版时间：May 2015
• 年：2015
• 卷：12
• 期：2
• 页码：371-385
• 全文大小：584 KB
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• 作者单位：Abdelhafid Younsi (1)
  
  1. Department of Mathematics and Computer Science, University of Djelfa, Djelfa, Algeria
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  
• 出版者：Birkh盲user Basel
• ISSN：1660-5454

文摘

Our aim in this paper is to study the long time behavior, in terms of upper semicontinuous property of trajectory attractor of perturbed 3D Navier-Stokes equations by adding a high-order term of hyperdissipation (l-Lapalcian). We show that the trajectory attractor of the perturbed system converges to the trajectory attractor of the 3D Navier-Stokes system as time tends to infinity and the artificial dissipation parameter approaches zero.