Convergence of the Vlasov-Poisson-Fokker-Planck system to the incompressible Euler equations

被引：0
|
作者：
Ling Xiao
Fucai Li
Shu Wang
机构：
[1] Chinese Academy of Sciences,Academy of Mathematics and Systems Science
[2] Nanjing University,Department of Mathematics
[3] Beijing University of Technology,College of Applied Sciences
来源：
Science in China Series A | 2006年 / 49卷
关键词：
Vlasov-Poisson-Fokker-Planck system; incompressible Euler equations; relative-entropy method;
D O I：
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中图分类号：
学科分类号：
摘要：
We establish the convergence of the Vlasov-Poisson-Fokker-Planck system to the incompressible Euler equations in this paper. The convergence is rigorously proved on the time interval where the smooth solution to the incompressible Euler equations exists. The proof relies on the compactness argument and the so-called relative-entropy method.
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页码：255 / 266
页数：11
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