Convergence of the Vlasov-Poisson-Boltzmann system to the incompressible Euler equations

被引：3
|
作者：
Hsiao, Ling [1 ]
Li, Fu Cai
Wang, Shu
机构：
[1] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
[2] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China
[3] Beijing Univ Technol, Coll Appl Sci, Beijing 100022, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2007年 / 23卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Vlasov-Poisson-Boltzmann system; Euler equations of the incompressible fluid; relative-entropy method;
D O I：
10.1007/s10114-005-0774-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we establish the convergence of the Vlasov-Poisson-Boltzmann system to the incompressible Euler equations in the so-called quasi-neutral regime. The convergence is rigorously proved for time intervals on which the smooth solution of the Euler equations of the incompressible fluid exists. The proof relies on the relative-entropy method.
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页码：761 / 768
页数：8
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