THE QUASI-NEUTRAL LIMIT OF THE COMPRESSIBLE MAGNETOHYDRODYNAMIC FLOWS FOR IONIC DYNAMICS

Abstract

In this paper we study the quasi-neutral limit of the compressible magnetohydrodynamic flows in the periodic domain T3 with the well-prepared initial data. We prove that the weak solution of the compressible magnetohydrodynamic flows governed by the Poisson equation converges to the strong solution of the compressible flow of magnetohydrodynamic flows as long as the latter exists.