带有分数阶耗散项的Magneto-Micropolar方程组的整体适定性  

Global Regularity of the 3D Magneto-Micropolar Equations with Fractional Dissipation

作　　者：石婷 张辉 SHI Ting;ZHANG Hui(School of Mathematics and Physics,Anqing Normal University,Anqing 246133,China)

机构地区：[1]安庆师范大学数理学院,安徽安庆246133

出　　处：《应用数学》2023年第4期915-921,共7页Mathematica Applicata

基　　金：国家自然科学基金(31971185)。

摘　　要：本文通过对三维磁场微极流方程组(Magneto-Micropolar fluid)的非线性结构进行细致分析并结合能量估计的方法,对一类带有分数阶耗散项的磁场微极流方程组解的整体适定性进行了研究,获得了当α≥5/2时磁场微极流方程组解的整体适定性.In this paper,through the detailed analysis of the nonlinear structure of the magnetomicropolar equations and the method of energy estimation,the global well-posedness of the solution to the magneto-micropolar equations with fractional-order dissipation terms in R^(3)is studied,the global well-posedness of the solution of the magneto-micropolar fluid equations is obtained whenα≥5/2.

关 键 词：磁场微极流方程组 分数阶耗散项 整体适定性 

分 类 号：O175.29[理学—数学]