Low Mach number limit of the compressible Hall-magnetohydrodynamic system

We prove global-in-time and uniform-in-ϵ existence of the strong solutions to the 3D compressible Hall-magnetohydrodynamic (MHD) system in a periodic domain T3, where ϵ is the Mach number. Consequently, we obtain the convergence of strong solutions to the compressible Hall-MHD system to that of incompressible Hall-MHD system.