Global Strong Solutions to Cauchy Problem of 1D Non-resistive MHD Equations with No Vacuum at Infinity

被引：1

作者：

Ai, Xiaolian ^{[1
]}

Li, Zilai ^{[2
]}

Ye, Yulin ^{[3
]}

机构：

[1] Northwest Univ, Sch Math, Xian 710069, Peoples R China

[2] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454000, Henan, Peoples R China

[3] Henan Univ, Sch Math & Stat, Kaifeng 475004, Peoples R China

来源：

ACTA APPLICANDAE MATHEMATICAE | 2021年 / 175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：

Compressible MHD equations; Cauchy problem; Global solutions; COMPRESSIBLE MAGNETOHYDRODYNAMIC EQUATIONS; NAVIER-STOKES EQUATIONS; CLASSICAL-SOLUTIONS; EXISTENCE;

D O I：

10.1007/s10440-021-00434-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the Cauchy problem of 1D non-resistive compressible magnetohydrodynamics (MHD) equations. We established the global existence and uniqueness of strong solutions for large initial data, where the initial density and initial magnetic field approach non-zero constants at infinity, but the initial vacuum of the density inside the region can be permitted. The analysis is based on the Caffarelli-Kohn-Nirenberg weighted inequality and the technique of mathematical frequency decomposition to get the upper bound of the density, and no more artificial conditions are needed to obtain the upper bound estimate of magnetic field b.

引用

页数：22

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