GLOBAL WELL-POSEDNESS FOR THE DENSITY-DEPENDENT INCOMPRESSIBLE MAGNETOHYDRODYNAMIC FLOWS IN BOUNDED DOMAINS

被引：0

作者：

陈德富 ^{[1
]}

叶霞 ^{[1
]}

机构：

[1] College of Mathematics and Information Science, Jiangxi Normal University

来源：

Acta Mathematica Scientia | 2018年 / 06期

关键词：

incompressible MHD; global solution; small initial data;

D O I：

暂无

中图分类号：

O411 [物理学的数学方法];

学科分类号：

0701 ;

摘要：

In this paper, we study the three-dimensional incompressible magnetohydrodynamic equations in a smooth bounded domains, in which the viscosity of the fluid and the magnetic diffusivity are concerned with density. The existence of global strong solutions is established in vacuum cases, provided the assumption that(|| ?μ(ρ0)|| Lp +|| ?ν(ρ0) ||Lq + ||b0|| L3+ ||ρ0|| L∞)(p, q > 3) is small enough, there is not any smallness condition on the velocity.

引用

页码：1833 / 1845

页数：13

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