三维非齐次不可压MHD方程组在Slip边界条件下的无粘无电阻极限

数学物理学报 ›› 2018, Vol. 38 ›› Issue (1): 83-95.

三维非齐次不可压MHD方程组在Slip边界条件下的无粘无电阻极限

陈鹏飞

湘潭大学数学与计算科学学院湖南湘潭 411105

收稿日期:2016-10-28 修回日期:2017-01-16 出版日期:2018-02-26 发布日期:2018-02-26
作者简介:陈鹏飞,cpfxtu@163.com
基金资助:
湖南省研究生科研创新项目（CX2015B205）和部分博士学科点专项科研基金（20134301110008）

The Inviscid and Non-Resistive Limit for 3D Nonhomogeneous Incompressible MHD Equations with a Slip Boundary Condition

Chen Pengfei

School of Mathematics and Computational Science, Xiangtan University, Hunan Xiangtan 411105

Received:2016-10-28 Revised:2017-01-16 Online:2018-02-26 Published:2018-02-26
Supported by:
Supported by Hunan Provincial Innovation Foundation For Postgraduate (CX2015B205) and partially by Research Fund for the Doctoral Program of Higher Education of China (20134301110008)

摘要/Abstract

摘要： 在一般光滑有界区域下，研究了三维非齐次不可压MHD方程组在slip边界条件下的无粘无电阻极限问题，并且得到了在C（[0，T]，H²（Ω））意义下强收敛结果.

关键词: 非齐次不可压MHD方程组, 无粘无电阻极限, Slip边界条件

Abstract: In this paper, we investigate the inviscid and non-resistive limit of the 3D nonhomogeneous incompressible magnetohydrodynamic (MHD) equations in a class of bounded smooth domain with a slip boundary condition. We obtain the estimates on the rate of convergence in C([0,T],H²(Ω)).

Key words: Nonhomogeneous incompressible MHD equations, The inviscid and non-resistive limit, Slip boundary conditions

中图分类号:

O175.25

陈鹏飞. 三维非齐次不可压MHD方程组在Slip边界条件下的无粘无电阻极限[J]. 数学物理学报, 2018, 38(1): 83-95.

Chen Pengfei. The Inviscid and Non-Resistive Limit for 3D Nonhomogeneous Incompressible MHD Equations with a Slip Boundary Condition[J]. Acta mathematica scientia,Series A, 2018, 38(1): 83-95.

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