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.
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
