Global Well-posedness of the Non-isentropic Full Compressible Magnetohydrodynamic Equations

被引：7

作者：

Xu, Fu Yi ^{[1
,2
]}

Zhang, Xin Guang ^{[3
]}

Wu, Yong Hong ^{[4
,5
]}

Caccetta, Lou ^{[4
]}

机构：

[1] China Inst Water Resources & Hydropower Res, State Key Lab Simulat & Regulat Water Cycle River, Beijing 100038, Peoples R China

[2] Shandong Univ Technol, Sch Sci, Zibo 255049, Peoples R China

[3] Yantai Univ, Sch Math & Informat Sci, Yantai 264005, Peoples R China

[4] Curtin Univ, Dept Math & Stat, Perth, WA 6845, Australia

[5] Zhongnan Univ Econ & Law, Dept Math, Wuhan 430073, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2016年 / 32卷 / 02期

基金：

中国博士后科学基金;

关键词：

Global well-posedness; full compressible magnetohydrodynamic equations; Besov spaces; NAVIER-STOKES EQUATIONS; MAGNETO-HYDRODYNAMICS EQUATIONS; HEAT-CONDUCTIVE GASES/; CRITICAL SPACES; EXISTENCE; CRITERION; REGULARITY;

D O I：

10.1007/s10114-016-4799-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we are concerned with Cauchy problem for the multi-dimensional (N >= 3) non-isentropic full compressible magnetohydrodynamic equations. We prove the existence and uniqueness of a global strong solution to the system for the initial data close to a stable equilibrium state in critical Besov spaces. Our method is mainly based on the uniform estimates in Besov spaces for the proper linearized system with convective terms.

引用

页码：227 / 250

页数：24

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