吉林大学学报(理学版) ›› 2023, Vol. 61 ›› Issue (6): 1261-1270.

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二维不可压缩磁-微极流初边值问题的全局解

吴辰龙, 刘瑞宽   

  1. 西南石油大学 理学院, 成都 610500
  • 收稿日期:2023-03-20 出版日期:2023-11-26 发布日期:2023-11-26
  • 通讯作者: 刘瑞宽 E-mail:liuruikuan2008@163.com

Global Solution to  Initial Boundary Value Problem for Two Dimensional Incompressible Magneto-Micropolar Fluids

WU Chenlong, LIU Ruikuan   

  1. School of Sciences, Southwest Petroleum University, Chengdu 610500, China
  • Received:2023-03-20 Online:2023-11-26 Published:2023-11-26

摘要: 利用T-弱连续算子方法与经典的Galerkin技术, 讨论二维有界光滑区域上一类不可压缩磁-微极流方程组的初边值问题, 得到了该问题全局弱解的存在性与唯一性定理, 并进一步提高了弱解的正则性.

关键词: 磁-微极流, T-弱连续算子, 存在性, 唯一性

Abstract: By using T-weak continuous operator method and classical Galerkin technique, we discussed the initial boundary value problem of a class of incompressible magneto-micropolar fluid equations in a two-dimensional bounded smooth region, and obtained the existence and uniqueness theorems of the global weak solutions for the problem,   further improving the regularity of the weak solutions.

Key words: magneto-micropolar fluid, T-weak continuous operator, existence, uniqueness

中图分类号: 

  • O175.29