Homogenized Diffusion Limit of a Vlasov-Poisson-Fokker-Planck Model

被引：5

作者：

Tayeb, Mohamed Lazhar ^{[1
]}

机构：

[1] Univ Tunis ElManar, Dept Math, Fac Sci Tunis, El Manar 2092, Tunisia

来源：

ANNALES HENRI POINCARE | 2016年 / 17卷 / 09期

关键词：

LINEAR BOLTZMANN-EQUATION; KINETIC-EQUATIONS; SYSTEM; APPROXIMATION; CONVERGENCE; SEMICONDUCTORS; EQUILIBRIUM; ASYMPTOTICS; TRANSPORT;

D O I：

10.1007/s00023-016-0484-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The approximation by diffusion and homogenization of the initial-boundary value problem of the Vlasov-Poisson-Fokker-Planck model is studied for a given velocity field with spatial macroscopic and microscopic variations. The L-1-contraction property of the Fokker-Planck operator and a two-scale Hybrid-Hilbert expansion are used to prove the convergence towards a homogenized Drift-Diffusion equation and to exhibit a rate of convergence.

引用

页码：2529 / 2553

页数：25

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