Global well-posedness of the 3D generalized rotating magnetohydrodynamics equations

Authors
Wang, Wei Hua Wu, Gang
Citation
Wang, Wei Hua et Wu, Gang, Global well-posedness of the 3D generalized rotating magnetohydrodynamics equations, Acta mathematica Sinica. English series (Print) , 34(6), 2018, pp. 992-1000
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
34
Issue
6
Year of publication
2018
Pages
992 - 1000
Database
ACNP
SICI code
Abstract
In this paper, we establish the global well-posedness of the generalized rotating magnetohydrodynamics equations if the initial data are in X1.2. defined by x1.2.={u.D.(R3):.R3|.|1.2.|u^(.)|d.<+.}. In addition, we also give Gevrey class regularity of the solution.