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Global Regularity of 2D Incompressible Magneto-Micropolar Fluid Equations with Partial Viscosity

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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.

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Authors and Affiliations

  1. Geomathematics Key Laboratory of Sichuan Province, College of Mathematics and Physics, Chengdu University of Technology, Chengdu, 610059, China

    Hongxia Lin  (林红霞), Sen Liu  (刘森), Heng Zhang  (张恒) & Ru Bai  (白恭)

Authors
  1. Hongxia Lin  (林红霞)
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  2. Sen Liu  (刘森)
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  3. Heng Zhang  (张恒)
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  4. Ru Bai  (白恭)
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Corresponding author

Correspondence to Hongxia Lin  (林红霞).

Additional information

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

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Lin, H., Liu, S., Zhang, H. et al. Global Regularity of 2D Incompressible Magneto-Micropolar Fluid Equations with Partial Viscosity. Acta Math Sci 43, 1275–1300 (2023). https://doi.org/10.1007/s10473-023-0316-z

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  • DOI: https://doi.org/10.1007/s10473-023-0316-z

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