Large time behavior of solutions of the bipolar hydrodynamical model for semiconductors

被引：90
作者：
Gasser, I
Hsiao, L
Li, HL
机构：
[1] Univ Vienna, Inst Math, A-1090 Vienna, Austria
[2] SISSA, I-34014 Trieste, Italy
[3] Univ Hamburg, Fachbereich Math, D-20146 Hamburg, Germany
[4] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2003年 / 192卷 / 02期
基金：
奥地利科学基金会;
关键词：
D O I：
10.1016/S0022-0396(03)00122-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The asymptotic behavior of classical solutions of the bipolar hydrodynamical model for semiconductors is considered in the present paper. This system takes the form of Euler-Poisson with electric field and frictional damping added to the momentum equation. The global existence of classical solutions is proven, and the nonlinear diffusive phenomena is observed in large time in the sense that both densities of electron and hole tend to the same unique nonlinear diffusive wave. (C) 2003 Elsevier Science (USA). All rights reserved.
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收藏
页码：326 / 359
页数：34
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