Asymptotic Analysis of MHD Systems

Abstract

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 $2D\times3D$.