Incompressible limit of full compressible magnetohydrodynamic equations with well-prepared data in 3-D bounded domains

Abstract

This paper studies the singular limits of the non-isentropic compressible magnetohydrodynamic equations for viscous and heat-conductive ideal polytropic flows with magnetic diffusions in a three-dimensional bounded domain as the Mach number goes to zero. Provided that the initial data are well-prepared, we establish the uniform estimates with respect to the Mach number, which gives the convergence from the full compressible magnetohydrodynamic equations to isentropic incompressible magnetohydrodynamic equations.