Convergence of the Euler-Maxwell two-fluid system to compressible Euler equations

摘要

The combined non-relativistic and quasi-neutral limit of two-fluid Euler-Maxwell equations for plasmas is rigorously justified in this paper. For well-prepared initial data, the convergence of the two-fluid Euler-Maxwell system to the compressible Euler equations is proved in the time interval where a smooth solution of the limit problem exists.