具有无穷磁雷诺数的三维磁微极流体方程的整体适定性  

Global well-posedness of the 3D magneto-micropolar fluid equations with infinite magnetic reynolds

作　　者：黄华雄 蒲学科 Huang Huaxiong;Pu Xueke(School of Mathematics and Information Science,Guangzhou University,Guangzhou 510006,China)

机构地区：[1]广州大学数学与信息科学学院,广州510006

出　　处：《河南师范大学学报（自然科学版）》2024年第4期87-93,共7页Journal of Henan Normal University(Natural Science Edition)

基　　金：国家自然科学基金(118711720);广州市科技计划项目(202201020132).

摘　　要：主要研究了具有无穷磁雷诺数的三维磁微极流体方程在T^(3)上的Cauchy问题的整体适定性,证明了当初始磁场很接近于背景磁场并且也满足丢番图条件时,该Cauchy问题是整体适定的.In this paper,the global well-posedness of Cauchy problem for the 3D magneto-micropolar fluid equations with infinite magnetic Reynolds number is studied.It is proved that the Cauchy problem in the periodic domain T^(3)is globally well-posed when the initial magnetic field is very close to the background magnetic field and satisfy the Diophantine condition.

关 键 词：磁微极流体方程 丢番图条件 整体适定性 

分 类 号：O175.21[理学—数学]