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.
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页码：227 / 250
页数：24
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