Pullback dynamical behaviors of the non-autonomous micropolar fluid flows

Caidi Zhao, Wenlong Sun, Cheng Hsiung Hsu

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

Abstract

The purpose of this work is to investigate the pullback asymptotic behaviors of solutions for non-autonomous micropolar fluid flows in twodimensional bounded domains. On the base of the known results concerning the global well-posedness of the solutions, we apply the technique of enstrophy equality, combining with the estimates on the solutions, to prove the existence and regularity of the pullback attractors for the generated evolution process for the universe of fixed bounded sets and for another universe with a tempered condition in different phase spaces. Then we use the estimates of the solutions to analyze the tempered behavior and H2-boundedness of the pullback attractors.

Original languageEnglish
Pages (from-to)265-288
Number of pages24
JournalDynamics of Partial Differential Equations
Volume12
Issue number3
DOIs
StatePublished - 10 Sep 2015

Keywords

  • Enstrophy equality
  • Galerkin approximate solutions
  • H-boundedness
  • Pullback attractor
  • Tempered behavior

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