Existence and uniqueness of stationary solutions to a one-dimensional bipolar hydrodynamic model of semiconductors

被引：46
作者：
Tsuge, Naoki [1 ]
机构：
[1] Gifu Univ, Fac Educ, Dept Math, Gifu 5011193, Japan
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 73卷 / 03期
关键词：
Semiconductors; Bipolar; Stationary problem; Classical solutions; STABILITY;
D O I：
10.1016/j.na.2010.04.015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a one-dimensional bipolar hydrodynamic model of semiconductors. Although some results exist for the bipolar case, almost their conditions (the boundary condition, the doping profile, etc.) are far from practical application. In the present paper, under a condition appropriate for engineering, we shall prove the existence and the uniqueness of classical solutions for the stationary problem. The most difficult point is to obtain the bounded estimate and the energy estimate. (C) 2010 Elsevier Ltd. All rights reserved.
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页码：779 / 787
页数：9
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