ABSTRACT
This paper studies the global regularity for the D magnetic Bénard system with mixed partial viscosity. More precisely, we first show the global regularity for the
D magnetic Bénard system with zero thermal diffusivity by a well-known property of Hardy space and BMO. Moreover, resorting to the method of the local-in-time analysis, the global regularity for the
D magnetic Bénard system with zero thermal diffusivity and horizontal magnetic diffusion as well as vertical magnetic diffusion are also obtained.
Notes
No potential conflict of interest was reported by the author.