CONVERGENCE OF THE COMPRESSIBLE ISENTROPIC MAGNETOHYDRODYNAMIC EQUATIONS TO THE INCOMPRESSIBLE MAGNETOHYDRODYNAMIC EQUATIONS IN CRITICAL SPACES

摘要

We study the convergence of the compressible isentropic magnetohydrodynamic equations to the incompressible model with ill-prepared initial data in critical Besov spaces. Under the condition that the initial data is small in some norm, we show that the convergence holds globally as the Mach number goes to zero. Moreover, we also obtain the convergence rate.