Global well-posedness for the density-dependent incompressible magnetohydrodynamic flows in bounded domains

In this paper,we study the three-dimensional incompressible magnetohydrody-namic equations in a smooth bounded domains,in which the viscosity of the fluid and the magnetic diffusivity are concerned with density.The existence of global strong solutions is established in vacuum cases,provided the assumption that (‖▽μ(ρ0)‖Lp + ‖▽ν(ρ0)‖Lq +‖b0‖L3 + ‖ρ0‖L∞) (p,q ＞ 3) is small enough,there is not any smallness condition on the velocity.