LOCAL WELL-POSEDNESS OF STRONG SOLUTIONS FOR THE NONHOMOGENEOUS MHD EQUATIONS WITH A SLIP BOUNDARY CONDITIONS

被引：0

作者：

李红民 ^{[1
]}

肖跃龙 ^{[2
]}

机构：

[1] School of Mathematics and Statistics, Zhumadian Academy of Industry Innovation and Development,Huanghuai University

[2] School of Mathematics and Computational Science, Xiangtan University

来源：

Acta Mathematica Scientia | 2020年 / 40卷 / 02期

关键词：

Nonhomogeneous MHD equations; local existence and uniqueness; vacuum; t-weighted H~2 estimate; Galerkin approximation;

D O I：

暂无

中图分类号：

O361.3 [磁流体力学];

学科分类号：

080103 ;

摘要：

This article is concerned with the 3 D nonhomogeneous incompressible magnetohydrodynamics equations with a slip boundary conditions in bounded domain. We obtain weighted estimates of the velocity and magnetic field, and address the issue of local existence and uniqueness of strong solutions with the weaker initial data which contains vacuum states.

引用

页码：442 / 456

页数：15

共 26 条

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