半导体中扩散方程初始边界问题的解的渐近性

数学季刊 ›› 2005, Vol. 20 ›› Issue (2): 185-191.

半导体中扩散方程初始边界问题的解的渐近性

Department of Mathematics, Puyang Occupation Technique College, Puyang 457000, China; Kaifeng Education College, Kaifeng 475002, China

收稿日期:2004-08-27 出版日期:2005-06-30 发布日期:2024-01-23
作者简介:WANG Wen-bin(1967-),male,native of Puyang,Henan,a lecturer of Puyang Occupation Technique College,engages in PDE.

Asymptotic of the Solutions to the Initial Boundary Value Problem for the Diffusion Equations for Semiconductors

Department of Mathematics, Puyang Occupation Technique College, Puyang 457000, China; Kaifeng Education College, Kaifeng 475002, China

Received:2004-08-27 Online:2005-06-30 Published:2024-01-23
About author:WANG Wen-bin(1967-),male,native of Puyang,Henan,a lecturer of Puyang Occupation Technique College,engages in PDE.

摘要/Abstract

摘要： In this paper, we study the asymptotic behavior of the solutions to the initial boundary value problem for unipolar drift diffusion equations for semiconductors. Under the proper assumptions on doping profile and initial value, we prove that the smooth solutions to these evolutionary problems tend to the unique stationary solution exponentially as time tends to infinity.

关键词: drift , difusion equations;initial boundary value problems;asymptotic behavior

Abstract: In this paper, we study the asymptotic behavior of the solutions to the initial boundary value problem for unipolar drift diffusion equations for semiconductors. Under the proper assumptions on doping profile and initial value, we prove that the smooth solutions to these evolutionary problems tend to the unique stationary solution exponentially as time tends to infinity.

Key words: drift , difusion equations;initial boundary value problems;asymptotic behavior

中图分类号:

O411.1

王文彬, 刘淑梅. 半导体中扩散方程初始边界问题的解的渐近性[J]. 数学季刊, 2005, 20(2): 185-191.

WANG Wen-bin, LIU Shu-mei . Asymptotic of the Solutions to the Initial Boundary Value Problem for the Diffusion Equations for Semiconductors[J]. Chinese Quarterly Journal of Mathematics, 2005, 20(2): 185-191.

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