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 solu...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.展开更多
The Cauchy problem for the 3D incompressible magneto-hydrodynamics equations in crit- cal spaces is considered. We first prove the global well-posedness of mild solution for the system in some time dependent spaces. F...The Cauchy problem for the 3D incompressible magneto-hydrodynamics equations in crit- cal spaces is considered. We first prove the global well-posedness of mild solution for the system in some time dependent spaces. Furthermore, we obtain analyticity of the solution.展开更多
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)+3 种基金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
文摘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.
基金Supported by Research supported by the National Natural Science Foundation of China(Grant Nos.11501332,11771043,11371221)the Natural Science Foundation of Shandong Province(Grant No.ZR2015AL007)+4 种基金China Postdoctoral Science Foundation funded project(Grant No.2014M561893)Postdoctoral innovation fund of Shandong Province(Grant No.201502015)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)Young Scholars Research Fund of Shandong University of Technology
文摘The Cauchy problem for the 3D incompressible magneto-hydrodynamics equations in crit- cal spaces is considered. We first prove the global well-posedness of mild solution for the system in some time dependent spaces. Furthermore, we obtain analyticity of the solution.
