A note on the long time behavior for the drift-diffusion-Poisson system

被引：24

作者：

Ben Abdallah, N ^{[1
]}

Méhats, F ^{[1
]}

Vauchelet, N ^{[1
]}

机构：

[1] Univ Toulouse 3, UMR 5640, UFR MIG, F-31032 Toulouse 4, France

来源：

COMPTES RENDUS MATHEMATIQUE | 2004年 / 339卷 / 10期

关键词：

D O I：

10.1016/j.crma.2004.09.025

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note we analyze the long time behavior of a drift-diffusion-Poisson system with a symmetric definite positive diffusion matrix, subject to Dirichlet boundary conditions. This system models the transport of electrons in semiconductor or plasma devices. By using a quadratic relative entropy obtained by keeping the lowest order term of the logarithmic relative entropy, we prove the exponential convergence to the equilibrium. (C) 2004 Academie des sciences. Published by Elsevier SAS. All rights reserved.

引用

页码：683 / 688

页数：6

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