摘要
In this paper, we prove the global well-posedness of the 3-D magnetohydrodynamics(MHD) equations with partial diffusion in the periodic domain when the initial velocity is small and the initial magnetic field is close to a background magnetic field satisfying the Diophantine condition.
基金
supported by National Natural Science Foundation of China(Grant No.11425103)
supported by the Postdoctoral Science Foundation of China(Grant No.2019TQ0006)。