Global smooth solutions to 3D MHD with mixed partial dissipation and magnetic diffusion

Menglong Su, Jian Wang
2013 Journal of Inequalities and Applications  
In this paper, we prove the existence of global smooth solutions to the Cauchy problem of 3D incompressible magnetohydrodynamics (MHD) flows with mixed partial dissipation and magnetic diffusion if the initial condition is suitably small.
doi:10.1186/1029-242x-2013-345 fatcat:45cyb3v2djcvdhrtjv4ujrw4uu