Global Well-posedness of Generalized Magnetohydrodynamics Equations in Variable Exponent Fourier–Besov–Morrey Spaces  

作　　者：Muhammad Zainul ABIDIN Jie Cheng CHEN 

机构地区：[1]College of Mathematics and Computer Science,Zhejiang Normal University,Jinhua 321004,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2022年第12期2187-2198,共12页数学学报（英文版）

基　　金：The Research was Supported by Zhejiang Normal University Postdoctoral Research fund under(Grant No.ZC304020909);NSF of China(Grant No.10271437)。

摘　　要：A generalized incompressable magnetohydrodynamics system is considered in this paper.Furthermore, results of global well-posednenss are established with the aid of Littlewood–Paley decomposition and Fourier localization method in mentioned system with small initial condition in the variable exponent Fourier–Besov–Morrey spaces. Moreover, the Gevrey class regularity of the solution is also achieved in this paper.

关 键 词：Generalized MHD global well-posedness variable exponent Fourier–Besov–Morrey(FBM)space ANALYTICITY 

分 类 号：O361.3[理学—流体力学] O175[理学—力学]