带部分粘性和阻尼项的三维磁场微极流方程组的整体适定性  

Global well-posedness of the 3D magneto-micropolar equations with partial viscosity and damping

作　　者：石婷 张辉 祖倩 SHI Ting;ZHANG Hui;ZU Qian(Yiwu Jimingshan School,Yiwu 322099,China;School of Mathematics and Physics,Anqing Normal University,Anqing 246133,China)

机构地区：[1]义乌市鸡鸣山学校,浙江义乌322099 [2]安庆师范大学数理学院,安徽安庆246133

出　　处：《纯粹数学与应用数学》2024年第4期636-647,共12页Pure and Applied Mathematics

基　　金：国家自然科学基金(31971185).

摘　　要：本文主要研究了在三维情形下带有部分粘性和阻尼项的不可压磁场微极流方程组的整体适定性.具体来说,通过对方程组的非线性结构进行细致地分析并结合能量估计的方法,得到了当β≥4时方程组解的存在性和唯一性,以及解对初值的连续依赖性.In this paper,the global well-posedness of the solution to the incompressible magneto-micropolar equations with partial viscosity and damping terms in R3 are studied.Precisely,by means of the careful analysis of the structure of the models and combining with energy methods,we obtain existence and uniqueness of the global solutions of the equations forβ≥4.Moreover,continuous dependence of solutions on initial values is also obtained.

关 键 词：磁场微极流方程组 阻尼项 整体适定性 

分 类 号：O175.29[理学—数学]