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In this paper, we study the barotropic compressible magnetohydrodynamicequations with the shear viscosity being a positive constant and the bulk onebeing proportional to a power of the density in a general two-dimensionalbounded simply connected domain. For initial density allowed to vanish, weprove that the initial-boundary-value problem of 2D compressible MHD systemadmits the global strong and weak solutions without any restrictions on thesize of initial data provided the shear viscosity is a positive constant andbulk one is $\lambda=\rho^\beta$ with $\beta>4/3$. As we known, this is thefirst result concerning the global existence of strong solutions to thecompressible MHD system in general two-dimensional bounded domains with largeinitial data and vacuum.

Global Strong and Weak Solutions to the Initial-boundary-value Problem of 2D Compressible MHD System with Large Initial Data and Vacuum