LOCAL WELL-POSEDNESS TO THE FULL COMPRESSIBLE MHD EQUATIONS WITHOUT INITIAL COMPATIBILITY CONDITIONS

被引：0

作者：

Cheng, Bianru ^{[1
]}

Dong, Wenchao ^{[1
]}

机构：

[1] Northwest Univ, Ctr Nonlinear Studies, Sch Math, Xian 710127, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2024年 / 29卷 / 06期

关键词：

Full compressible magnetohydrodynamic equations; local strong solution; vacuum; TIME ASYMPTOTIC-BEHAVIOR; MAGNETOHYDRODYNAMIC EQUATIONS; CAUCHY-PROBLEM; GLOBAL EXISTENCE; WEAK SOLUTIONS; BOUNDARY; CRITERION; DENSITY; SYSTEM;

D O I：

10.3934/dcdsb.2023196

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the Cauchy problem of two dimensional full compressible magnetohydrodynamic (MHD) equations with vacuum. It is shown that if the initial data satisfies the weaker regularities and does not need to meet any compatibility conditions, the unique local-in-time strong solution to the MHD equations exists. Note that the vacuum initial state at the interior domain is allowed. Particularly, by leveraging and simplifying the method in [J. Li and Y. Zheng, J. Math. Fluid Mech., 25 (2023), 14], we generalize their results to the MHD equations.

引用

页码：2650 / 2678

页数：29

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