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