Asymptotic Analysis of MHD Systems

In this paper, we study the convergence of strong solutions of a Magneto-Hydro-Dynamic system. On the torus ${\mathbb{T}}^3$, the proof is based on Schochet’s methods, whereas in the case of the whole space ${\bf $\mathbb{R}$^3}$,weuseStrichart{z}^{\mathrm{\prime }}stypeestimatesandaproductla{w}^{\mathrm{\prime }}s$2D\times3D$.