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

doi:10.1007/s10473-023-0316-z

数学物理学报(英文版) ›› 2023, Vol. 43 ›› Issue (3): 1275-1300.doi: 10.1007/s10473-023-0316-z

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

Hongxia Lin^†, Sen Liu, Heng Zhang, Ru Bai

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

收稿日期:2021-12-21 出版日期:2023-06-25 发布日期:2023-06-06
通讯作者: ^† Hongxia Lin, E-mail: linhongxia18@126.com
作者简介:Sen Liu, E-mail: liu1835095756@163.com; Heng Zhang, E-mail: ZH17760007221@163.com; Ru Bai, E-mail: rubbai@163.com
基金资助:
Lin was supported by the Sichuan Science and Technology Program (2023NS-FSC0056), the NNSF of China (11701049) and the China Postdoctoral Science Foundation (2017M622989).

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

Hongxia Lin^†, Sen Liu, Heng Zhang, Ru Bai

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

Received:2021-12-21 Online:2023-06-25 Published:2023-06-06
Contact: ^† Hongxia Lin, E-mail: linhongxia18@126.com
About author:Sen Liu, E-mail: liu1835095756@163.com; Heng Zhang, E-mail: ZH17760007221@163.com; Ru Bai, E-mail: rubbai@163.com
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).

摘要/Abstract

摘要： 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.

关键词: magneto-micropolar fluid equations, partial dissipation, global regularity, regular criteria

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.

Key words: magneto-micropolar fluid equations, partial dissipation, global regularity, regular criteria

Hongxia Lin, Sen Liu, Heng Zhang, Ru Bai. GLOBAL REGULARITY OF 2D INCOMPRESSIBLE MAGNETO-MICROPOLAR FLUID EQUATIONS WITH PARTIAL VISCOSITY^*[J]. 数学物理学报(英文版), 2023, 43(3): 1275-1300.

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.

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

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

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