Global existence and decay of smooth solutions for the 3-D MHD-type equations without magnetic diffusion

被引：0

作者：

REN XiaoXia ^{[1
]}

XIANG ZhaoYin ^{[2
]}

ZHANG ZhiFei ^{[1
]}

机构：

[1] School of Mathematical Sciences, Peking University

[2] School of Mathematical Sciences, University of Electronic Science and Technology of China

来源：

ScienceChina(Mathematics) | 2016年 / 59卷 / 10期

基金：

中国国家自然科学基金;

关键词：

global existence; decay estimates; magneto-hydrodynamical equations; zero magnetic diffusion;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

We study the large time behavior of a 3-D MHD(magneto-hydrodynamical)-type system without magnetic diffusion introduced by Lin and Zhang(2014). By using the elementary energy method and interpolation technique, we prove the global existence and decay estimate of smooth solution near the equilibrium state(x3, 0).

引用

页码：1949 / 1974

页数：26

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