Global existence and exponential stability of smooth solutions to a full hydrodynamic model to semiconductors

被引:21
作者
Hsiao, L [1 ]
Jiang, S
Zhang, P
机构
[1] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
[2] Inst Appl Phys & Computat Math, LCP, Beijing 100088, Peoples R China
来源
MONATSHEFTE FUR MATHEMATIK | 2002年 / 136卷 / 04期
关键词
hydrodynamic semiconductor equations; global existence; large-time behavior;
D O I
10.1007/s00605-002-0485-0
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We study a full hydrodynamic semiconductor model in multi-space dimension. The global existence of smooth solutions is established and the exponential stability of the solutions as t-->infinity is investigated.
引用
收藏
页码:269 / 285
页数:17
相关论文
共 18 条
[1]  
Adams R. A., 1975, SOBOLEV SPACES
[2]  
Anile AM, 1996, CONTINUUM MECH THERM, V8, P131, DOI 10.1007/BF01181851
[3]   IMPROVED HYDRODYNAMICAL MODEL FOR CARRIER TRANSPORT IN SEMICONDUCTORS [J].
ANILE, AM ;
MUSCATO, O .
PHYSICAL REVIEW B, 1995, 51 (23) :16728-16740
[4]  
Chen GQ, 1998, NUMER MATH SCI COMP, P189
[5]  
HSIAO L, 2002, MATH MODELLING ANA 2
[6]  
HSIAO L, 2002, IN PRESS ADV MATH
[7]  
HSIAO L, ASYMPTOTIC BEHAV GLO
[8]  
JEROME JW, 1994, SEMICONDUCTORS 2, P185
[9]  
Lions PL., 1998, MATH TOPICS FLUID ME
[10]  
Majda A., 1984, Compressible Fluid Flow and Systems of Conservation Laws in Several Space Variables Applied Mathematical Sciences, DOI [10.1007/978-1-4612-1116-7, DOI 10.1007/978-1-4612-1116-7]