Convergence of compressible Euler-Maxwell equations to incompressible euler equations

摘要

In this paper we study the combined quasineutral and non-relativistic limit of compressible Euler-Maxwell equations. For well prepared initial data the convergences of solutions of compressible Euler-Maxwell equations to the solutions of incompressible Euler equations are justified rigorously by an analysis of asymptotic expansions and a careful use of epsilon-weighted Liapunov-type functional. One main ingredient of establishing uniformly a priori estimates with respect to epsilon is to use the curl-div decomposition of the gradient.