Convergence of Compressible Euler-Maxwell Equations to Compressible Euler-Poisson Equations

在这篇论文，到在经由非相对论的限制的一个花托的可压缩的 Euler 泊松方程的时间依赖者 Euler 马方程的集中被学习。两个系统的光滑的答案的本地存在被为第一顺序 symmetrizable 使用精力估计证明夸张系统。为很好准备的起始的数据，答案的集中被 asymptotic 扩大的分析严厉地认为正当直到任何顺序。作者也为一般起始的数据执行起始的层分析；证明 asymptotic 扩大的集中直到第一份订单。

In this paper, the convergence compressible Euler-Poisson equations in a of time-dependent Euler-Maxwell equations to torus via the non-relativistic limit is studied. The local existence of smooth solutions to both systems is proved by using energy estimates for first order symmetrizable hyperbolic systems. For well prepared initial data the convergence of solutions is rigorously justified by an analysis of asymptotic expansions up to any order. The authors perform also an initial layer analysis for general initial data and prove the convergence of asymptotic expansions up to first order.