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

Authors
Wang, Sheng Ren, Yu Bing Xu, Fu Yi
Citation
Wang, Sheng et al., Analyticity of Mild Solution for the 3D Incompressible Magneto-hydrodynamics Equations in Critical Spaces, Acta mathematica Sinica. English series (Print) , 34(11), 2018, pp. 1731-1741
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
34
Issue
11
Year of publication
2018
Pages
1731 - 1741
Database
ACNP
SICI code
Abstract
The Cauchy problem for the 3D incompressible magneto-hydrodynamics equations in critcal 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.