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

作　　者：林红霞 刘森 张恒 白茹 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)

机构地区：[1]Geomathematics Key Laboratory of Sichuan Province,College of Mathematics and Physics,Chengdu University of Technology,Chengdu,610059,China

出　　处：《Acta Mathematica Scientia》2023年第3期1275-1300,共26页数学物理学报（B辑英文版）

基　　金：Lin was supported by the Sichuan Science and Technology Program (2023NSFSC0056);the NNSF of China (11701049);the China Postdoctoral Science Foundation (2017M622989)。

摘　　要：This paper studies the global regularity of 2D incompressible anisotropic magnetomicropolar 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 magnetomicropolar 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 

分 类 号：O361.3[理学—流体力学]