Low Mach number limit of the viscous quantum magnetohydrodynamic model

Abstract

This paper is concerned with the low Mach number limit of the magnetohydrodynamic model with periodic boundary conditions for quantum plasmas. It is justified rigorously that, for well-prepared initial data, the classical solutions of the viscous quantum magnetohydrodynamic equations converge to that of the incompressible magnetohydrodynamic equations with a sharp convergence rate as the Mach number goes to zero.