Acta mathematica scientia,Series A ›› 2026, Vol. 46 ›› Issue (6): 2251-2263.

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Existence of Pullback Attractors for a Class of Incompressible Non-Newtonian Micropolar Fluids

Tianfang Wu1(), Kaile Chen2, Wenlong Sun3,*()   

  1. 1 Wenzhou Business College, Zhejiang Wenzhou 325000
    2 School of Information and Mathematics, Yangtze University, Hubei Jingzhou 434023
    3 School of Mathematics and Statistics, Hubei Minzu University, Hubei Enshi 445000
  • Received:2025-06-16 Revised:2025-08-31 Online:2026-12-26 Published:2026-08-14
  • Contact: Wenlong Sun E-mail:20249237@wzbc.edu.cn;wenlongsun1988@163.com
  • Supported by:
    Natural Science Foundation of Hubei Province(2022CFB661);Youth Talent Project of the Education Department of Hubei Province(Q20231309)

Abstract:

In this paper, we investigate the pullback dynamical behavior of a class of incompressible non-Newtonian micropolar fluids in 2D bounded domains. Specifically, by establishing a-prior estimates of the solutions and then verifying that the process generated by the solution operator has the pullback flattening property, we obtain the existence of the pullback attractor.

Key words: non-Newtonian micropolar fluids, pullback attractor, pullback flattening property

CLC Number: 

  • O175.29
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