Global solutions to three-dimensional generalized MHD equations with large initial data

被引：6
作者：
Liu, Fagui [1 ]
Wang, Yu-Zhu [1 ]
机构：
[1] North China Univ Water Resources & Elect Power, Sch Math & Stat, Zhengzhou 450011, Henan, Peoples R China
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2019年 / 70卷 / 03期
关键词：
Generalized MHD equations; Global solutions; Stability; WELL-POSEDNESS; REGULARITY CRITERIA; WEAK SOLUTIONS; EXISTENCE; MAGNETOHYDRODYNAMICS; DECAY; SYSTEM;
D O I：
10.1007/s00033-019-1113-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate the initial value problem for the three-dimensional generalized incompressible MHD equations. Firstly, global stability result is established by energy method in the Fourier space. Then for a class of large initial data, global solutions are obtained in the critical function space X1-2 by global stability result.
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页数：12
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