Convergence of compressible Euler-Maxwell equations to compressible Euler-Poisson equations
Convergence of compressible Euler-Maxwell equations to compressible Euler-Poisson equations
复制标题
可压缩欧拉-麦克斯韦方程到可压缩欧拉-泊松方程的收敛
DOI：
10.1007/s11401-005-0556-3
复制
发表时间：
2007-09-01
影响因子：
0.5
通讯作者：
Wang, Shu
中科院分区：
文献类型：
--
作者：
Peng, Yuejun;Wang, Shu
本文研究了时变欧拉-麦克斯韦方程在环面上通过非相对论性极限收敛到可压缩欧拉-泊松方程的问题。利用一阶可对称双曲系统的能量估计，证明了这两个系统的光滑解的局部存在性。对于准备好的初始数据，解的收敛性通过对任意阶的渐近展开式的分析得到了严格的证明。作者还对一般初始数据进行了初始层分析，并证明了渐近展开式直到一阶的收敛性。
In this paper, the convergence of time-dependent Euler-Maxwell equations to compressible Euler-Poisson equations in a 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.