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

作　　者：Fu Yi XU Xin Guang ZHANG Yong Hong WU Lou CACCETTA 

机构地区：[1]State Key Laboratory of Simulation and Regulation of Water Cycle in River Basin,China Institute of Water Resources and Hydropower Research [2]School of Science,Shandong University of Technology [3]School of Mathematical and Informational Sciences,Yantai University [4]Department of Mathematics and Statistics,Curtin University [5]Department of Mathematics,Zhongnan University of Economics and Law

出　　处：《Acta Mathematica Sinica,English Series》2016年第2期227-250,共24页数学学报（英文版）

基　　金：Supported by National Natural Science Foundations of China(Grant Nos.11501332,11171034 and 11371221);Natural Science Foundation of Shandong Province(Grant No.2015ZRB01718);China Postdoctoral Science Foundation funded project(Grant No.2014M561893);the Open Fund of State Key Laboratory of Simulation and Regulation of Water Cycle in River Basin,China Institute of Water Resources and Hydropower Research Fund(Grant No.IWHR-SKL-201407);the Specialized Research Foundation for the Doctoral Program of Higher Education of China(Grant No.20123705110001);the Program for Scientific Research Innovation Team in Colleges and Universities of Shandong Province

摘　　要：In this paper, we are concerned with Cuuchy problem for the multi-dimensional （N 〉_ 3） non-isentropic full compressible magnetohydrodynamic equations. We prove the existence and unique- ness 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.In this paper, we are concerned with Cuuchy problem for the multi-dimensional （N 〉_ 3） non-isentropic full compressible magnetohydrodynamic equations. We prove the existence and unique- ness 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.

关 键 词：Global well-posedness full compressible magnetohydrodynamic equations Besov spaces 

分 类 号：O175[理学—数学]