On non-resistive limit of 1D MHD equations with no vacuum at infinity

被引：2
|
作者：
Li, Zilai [1 ]
Wang, Huaqiao [2 ]
Ye, Yulin [3 ]
机构：
[1] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454000, Henan, Peoples R China
[2] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China
[3] Henan Univ, Sch Math & Stat, Kaifeng 475004, Peoples R China
来源：
ADVANCES IN NONLINEAR ANALYSIS | 2022年 / 11卷 / 01期
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
1D compressible MHD equations; Cauchy problem; global strong solutions; non-resistive limit; COMPRESSIBLE MAGNETOHYDRODYNAMIC EQUATIONS; NAVIER-STOKES EQUATIONS; GLOBAL CLASSICAL SOLUTION; CAUCHY-PROBLEM; EXISTENCE;
D O I：
10.1515/anona-2021-0209
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the Cauchy problem for the one-dimensional compressible isentropic magnetohydrodynamic (MHD) equations with no vacuum at infinity is considered, but the initial vacuum can be permitted inside the region. By deriving a priori nu (resistivity coefficient)-independent estimates, we establish the non-resistive limit of the global strong solutions with large initial data. Moreover, as a by-product, the global well-posedness of strong solutions for the compressible resistive MHD equations is also established.
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页码：702 / 725
页数：24
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