GLOBAL REGULARITY OF 2D INCOMPRESSIBLE MAGNETO-MICROPOLAR FLUID EQUATIONS WITH PARTIAL VISCOSITY*

  • Hongxia Lin ,
  • Sen Liu ,
  • Heng Zhang ,
  • Ru Bai
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  • Geomathematics Key Laboratory of Sichuan Province, College of Mathematics and Physics, Chengdu University of Technology, Chengdu 610059, China
Sen Liu, E-mail: liu1835095756@163.com; Heng Zhang, E-mail: ZH17760007221@163.com; Ru Bai, E-mail: rubbai@163.com

Received date: 2021-12-21

  Online published: 2023-06-06

Supported by

Lin was supported by the Sichuan Science and Technology Program (2023NS-FSC0056), the NNSF of China (11701049) and the China Postdoctoral Science Foundation (2017M622989).

Abstract

This paper studies the global regularity of 2D incompressible anisotropic magneto-micropolar fluid equations with partial viscosity. Ma [22] (Ma L. Nonlinear Anal: Real World Appl, 2018, 40: 95-129) examined the global regularity of the 2D incompressible magneto-micropolar fluid system for 21 anisotropic partial viscosity cases. He proved the global existence of a classical solution for some cases and established the conditional global regularity for some other cases. In this paper, we also investigate the global regularity of 12 cases in [22] and some other new partial viscosity cases. The global regularity is established by providing new regular conditions. Our work improves some results in [22] in this sense of weaker regular criteria.

Cite this article

Hongxia Lin , Sen Liu , Heng Zhang , Ru Bai . GLOBAL REGULARITY OF 2D INCOMPRESSIBLE MAGNETO-MICROPOLAR FLUID EQUATIONS WITH PARTIAL VISCOSITY*[J]. Acta mathematica scientia, Series B, 2023 , 43(3) : 1275 -1300 . DOI: 10.1007/s10473-023-0316-z

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