Quasi-Neutral Limit for Euler-Poisson System
Quasi-Neutral Limit for Euler-Poisson System
复制标题
DOI：
10.1007/s00332-001-0004-9
复制
发表时间：
2001-06
影响因子：
3
通讯作者：
M. Slemrod;N. Sternberg
中科院分区：
文献类型：
--
作者：
M. Slemrod;N. Sternberg
本文给出了一维有界区域上Euler-Poisson系统拟中立型极限的一个严格证明。当等离子体由电离维持时，考虑的是最一般的情况。从无碰撞到高度碰撞的等离子体范围很广，都是允许的。在等离子体中心，离子被假定为处于静止状态，并规定了基本上准中性的初始数据。该定理断言，直到离子速度达到离子声速，才获得准中性极限。此外，正式匹配的渐近展开给出描述的解决方案，在其通道从等离子体中心的墙壁。
This paper provides a rigorous proof of the quasi-neutral limit for the Euler-Poisson system on a bounded domain in one space dimension. The most general case is being considered when the plasma is sustained by ionization. A wide range of plasmas, from collisionless to highly collisional, is permitted. At the plasma center, the ions are assumed to be at rest, and essentially quasi-neutral initial data are prescribed. The theorem asserts that the quasi-neutral limit is obtained until the ion velocity reaches the ion-sound speed. In addition, formal matched asymptotic expansions are given which describe the solution in its passage from the plasma center to the wall.