  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 ${\bf
\mathbb{R}^3}$, we use Strichartz's type estimates and a product law's
$2D\times3D$.
