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The fractal dimension of pullback attractors for the 2D Navier-Stokes equations with delay
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  • Xinguang Yang,
  • Boling Guo,
  • Chunxiao Guo,
  • Desheng Li
Xinguang Yang
Henan Normal University
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Boling Guo
Institute of Applied Physics and Computational Mathematics
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Chunxiao Guo
China University of Mining and Technology Beijing
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Desheng Li
Tianjin University
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Peer review status:ACCEPTED

24 Apr 2020Submitted to Mathematical Methods in the Applied Sciences
25 Apr 2020Submission Checks Completed
25 Apr 2020Assigned to Editor
25 Apr 2020Reviewer(s) Assigned
27 May 2020Review(s) Completed, Editorial Evaluation Pending
27 May 2020Editorial Decision: Revise Minor
03 Jun 20201st Revision Received
03 Jun 2020Submission Checks Completed
03 Jun 2020Assigned to Editor
03 Jun 2020Editorial Decision: Accept

Abstract

This paper is concerned with the bounded fractal and Hausdorff dimension of the pullback attractors for 2D non-autonomous incompressible Navier-Stokes equations with constant delay terms. Using the construction of trace formula with two bases for phase spaces of product flow, the upper boundedness of fractal dimension has been achieved.