Analyticity of Mild Solution for the 3D Incompressible Magneto-hydrodynamics Equations in Critical Spaces  

作　　者：Sheng WANG Yu Bing REN Fu Yi XU 

机构地区：[1]School of Mathematics and Statistics, Shandong University, Weihai 264200, P. R. China [2]School of Mathematics and Statistics, Shandong University of Technology, Zibo 255049, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2018年第11期1731-1741,共11页数学学报（英文版）

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);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

摘　　要：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.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.

关 键 词：Lobal well-posedness ANALYTICITY mild solutions 3D incompressible magneto-hydrody- namics equations 

分 类 号：O361.3[理学—流体力学] O177[理学—力学]