数学物理学报(英文版) ›› 2018, Vol. 38 ›› Issue (4): 1370-1392.

• 论文 • 上一篇    下一篇

PULLBACK EXPONENTIAL ATTRACTORS FOR THE NON-AUTONOMOUS MICROPOLAR FLUID FLOWS

孙文龙, 黎野平   

  1. Department of Mathematics, East China University of Science and Technology, Shanghai 200237, China
  • 收稿日期:2016-05-17 修回日期:2017-09-29 出版日期:2018-08-25 发布日期:2018-08-25
  • 通讯作者: Wenlong SUN,E-mail:wenlongsun1988@163.com E-mail:wenlongsun1988@163.com
  • 作者简介:Yeping LI,E-mail:yplee@ecust.edu.cn
  • 基金资助:
    This work was partially supported by the Natural Science Foundation of China (11671134).

PULLBACK EXPONENTIAL ATTRACTORS FOR THE NON-AUTONOMOUS MICROPOLAR FLUID FLOWS

Wenlong SUN, Yeping LI   

  1. Department of Mathematics, East China University of Science and Technology, Shanghai 200237, China
  • Received:2016-05-17 Revised:2017-09-29 Online:2018-08-25 Published:2018-08-25
  • Contact: Wenlong SUN,E-mail:wenlongsun1988@163.com E-mail:wenlongsun1988@163.com
  • Supported by:
    This work was partially supported by the Natural Science Foundation of China (11671134).

摘要: This paper investigates the pullback asymptotic behaviors for the non-autonomous micropolar fluid flows in 2D bounded domains. We use the energy method, combining with some important properties of the generated processes, to prove the existence of pullback exponential attractors and global pullback attractors and show that they both with finite fractal dimension. Further, we give the relationship between global pullback attractors and pullback exponential attractors.

关键词: micropolar fluid flow, pullback exponential attractor, global pullback attractor, fractal dimension, enstrophy equality

Abstract: This paper investigates the pullback asymptotic behaviors for the non-autonomous micropolar fluid flows in 2D bounded domains. We use the energy method, combining with some important properties of the generated processes, to prove the existence of pullback exponential attractors and global pullback attractors and show that they both with finite fractal dimension. Further, we give the relationship between global pullback attractors and pullback exponential attractors.

Key words: micropolar fluid flow, pullback exponential attractor, global pullback attractor, fractal dimension, enstrophy equality