GLOBAL SOLUTIONS TO THREE-DIMENSIONAL GENERALIZED MHD EQUATIONS WITH THE CORIOLIS FORCE NEAR AN EQUILIBRIUM

被引：0

作者：

Wang, Yuzhu ^{[1
]}

Zhang, Tiantian ^{[1
]}

机构：

[1] North China Univ Water Resources & Elect Power, Sch Math & Stat, Zhengzhou 450046, Peoples R China

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2023年 / 24卷 / 04期

关键词：

Generalized MHD equations with the Coriolis force; global solutions; large solutions; LEI-LIN SOLUTION; WELL-POSEDNESS; DECAY; EXISTENCE; ANALYTICITY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the initial value problem for the threedimensional generalized MHD equations with the Coriolis force. Global solutions near an equilibrium in Lei-Lin type space are established by using the energy method in Fourier space and continuous argument. In other words, global stability on perturbations near the steady solution by the background magnetic field is proved.

引用

页码：849 / 856

页数：8

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