The asymptotic behavior of globally smooth solutions of the multidimensional isentropic hydrodynamic model for semiconductors

被引：91
|
作者：
Hsiao, L
Markowich, PA
Wang, S
机构：
[1] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
[2] Univ Vienna, Math Inst, A-1090 Vienna, Austria
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2003年 / 192卷 / 01期
关键词：
multidimensional hydrodynamic model; semiconductors; asymptotic behavior; globally smooth solution;
D O I：
10.1016/S0022-0396(03)00063-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we study the asymptotic behavior of globally smooth solutions of the Cauchy problem for the multidimensional isentropic hydrodynamic model for semiconductors in R-d. We prove that smooth solutions (close to equilibrium) of the problem converge to a stationary solution exponentially fast as t--> + infinity. (C) 2003 Elsevier Science (USA). All rights reserved.
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页码：111 / 133
页数：23
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