| 等离子体中带小参数的高维流体动力学双极模型的渐近展开(英文) |
| |
| 引用本文： | 杨建伟,王术.等离子体中带小参数的高维流体动力学双极模型的渐近展开(英文)[J].数学进展,2012(1):91-101. |
| |
| 作者姓名： | 杨建伟 王术 |
| |
| 作者单位： | 华北水利水电学院数学与信息科学学院;北京工业大学应用数理学院 |
| |
| 基金项目： | partially supported by NSFC(No.11071009);BSFC(No.1082001);Research Initiation Project for High-level Talents(No.201035) of North China University of Water Resources and Electric Power |
| |
| 摘 要： | 通过渐近展开的方法,研究了等离子体中带小参数的双极Euler-Poisson方程的拟中性极限和零松弛时间极限问题.对于每一个极限,只要具有好准备的初值,就可以得到任意阶渐近展开的存在唯一性,并在最后讨论了这些极限的验证问题.
|
| 关 键 词： | 可压的Euler-Poisson方程 渐近展开 双极等离子体 拟中性极限 零松弛极限 |
Asymptotic Expansion in the Multi-dimensional Hydrodynamic Model for Two-carrier Plasmas With Small Parameters |
| |
| YANG Jianwei,WANG Shu.Asymptotic Expansion in the Multi-dimensional Hydrodynamic Model for Two-carrier Plasmas With Small Parameters[J].Advances in Mathematics,2012(1):91-101. |
| |
| Authors: | YANG Jianwei WANG Shu |
| |
| Institution: | 1.College of Mathematics and Information Science,North China University of Water Resources and Electric Power,Zhengzhou,Henan,450011,P.R.China;2.College of Applied Sciences,Beijing University of Technology,Beijing,100124,P.R.China) |
| |
| Abstract: | This paper is concerned with the two-carrier Euler-Poisson equations for plasmas with small parameters.We study,by means of asymptotic expansions,the quasi-neutral limit and the zero-relaxation-time limit.For each limit with well-prepared initial data,we show the existence and uniqueness of an asymptotic expansion up to any order.Finally,we discuss the justification of the limits. |
| |
| Keywords: | compressible Euler-Poisson equations asymptotic expansion two-carrier plasmas quasi-neutral limit zero-relaxation limit |
| 本文献已被 CNKI 等数据库收录！ |
