Acta mathematica scientia,Series A ›› 2022, Vol. 42 ›› Issue (4): 1173-1185.

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The Convergence of Pullback Attractors for Navier-Stokes Equations with Weak Damping

Jie Cao1(),Lan Huang2(),Keqin Su1,*()   

  1. 1 College of Information and Management Science, Henan Agricultural University, Zhengzhou 450046
    2 College of Mathematics and Statistics, North China University of Water Resources and Electric Power, Zhengzhou 450045
  • Received:2021-10-26 Online:2022-08-26 Published:2022-08-08
  • Contact: Keqin Su E-mail:caojie23@hotmail.com;huanglan82@hotmail.com;keqinsu@hotmail.com
  • Supported by:
    the Henan Natural Science Foundation(212300410164)

Abstract:

The long-time behavior of solution to Navier-Stokes equations with weak damping is studied in this paper. With some assumptions on the external force and initial datum, the global wellposedness and regularity of weak solution are proved by Galerkin method, and the existence and convergence of pullback attractors are established finally.

Key words: Pullback attractors, Navier-Stokes equations, Weak damping, Upper semicontinuity

CLC Number: 

  • O175.26
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