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

doi:10.1007/s10473-020-0210-x

数学物理学报(英文版) ›› 2020, Vol. 40 ›› Issue (2): 442-456.doi: 10.1007/s10473-020-0210-x

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

李红民¹, 肖跃龙²

1. School of Mathematics and Statistics, Zhumadian Academy of Industry Innovation and Development, Huanghuai University, Zhumadian 463000, China;
2. School of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, China

收稿日期:2018-09-29 修回日期:2019-04-08 出版日期:2020-04-25 发布日期:2020-05-26
通讯作者: Yuelong XIAO E-mail:xyl@xtu.edu.cn
作者简介:Hongmin LI,E-mail:hmlmath@163.com
基金资助:
This work was supported by Natural Science Foundation of China (11871412).

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

Hongmin LI¹, Yuelong XIAO²

1. School of Mathematics and Statistics, Zhumadian Academy of Industry Innovation and Development, Huanghuai University, Zhumadian 463000, China;
2. School of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, China

Received:2018-09-29 Revised:2019-04-08 Online:2020-04-25 Published:2020-05-26
Contact: Yuelong XIAO E-mail:xyl@xtu.edu.cn
Supported by:
This work was supported by Natural Science Foundation of China (11871412).

摘要/Abstract

摘要： This article is concerned with the 3D 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.

关键词: Nonhomogeneous MHD equations, local existence and uniqueness, vacuum, t-weighted H² estimate, Galerkin approximation

Abstract: This article is concerned with the 3D 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.

Key words: Nonhomogeneous MHD equations, local existence and uniqueness, vacuum, t-weighted H² estimate, Galerkin approximation

中图分类号:

35Q35

李红民, 肖跃龙. LOCAL WELL-POSEDNESS OF STRONG SOLUTIONS FOR THE NONHOMOGENEOUS MHD EQUATIONS WITH A SLIP BOUNDARY CONDITIONS[J]. 数学物理学报(英文版), 2020, 40(2): 442-456.

Hongmin LI, Yuelong XIAO. LOCAL WELL-POSEDNESS OF STRONG SOLUTIONS FOR THE NONHOMOGENEOUS MHD EQUATIONS WITH A SLIP BOUNDARY CONDITIONS[J]. Acta mathematica scientia,Series B, 2020, 40(2): 442-456.

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

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

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