The asymptotic behavior of global smooth solutions to the macroscopic models for semiconductors

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	The asymptotic behavior of global smooth solutions to the macroscopic models for semiconductors
	Hsiao, L ; Wang, S
	2001-04-01
发表期刊	CHINESE ANNALS OF MATHEMATICS SERIES B
ISSN	0252-9599
卷号	22 期号:2 页码:195-210
摘要	The authors study the asymptotic behavior of the smooth solutions to the Cauchy problems for two macroscopic models (hydrodynamic and drift-diffusion models) for semiconductors and the related relaxation limit problem. First, it is proved that the solutions to these two systems converge to the unique stationary solution time asymptotically without the smallness assumption on doping profile. Then, very sharp estimates on the smooth solutions, independent of the relaxation time, are obtained and used to establish the zero relaxation limit.
关键词	hydrodynamic model semiconductors asymptotic behavior global smooth solution zero relaxation limit
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000169176500007
出版者	BALTZER SCI PUBL BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16608
专题	中国科学院数学与系统科学研究院
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Henan Univ, Dept Math, Kaifeng 475001, Peoples R China
推荐引用方式 GB/T 7714	Hsiao, L,Wang, S. The asymptotic behavior of global smooth solutions to the macroscopic models for semiconductors[J]. CHINESE ANNALS OF MATHEMATICS SERIES B,2001,22(2):195-210.
APA	Hsiao, L,&Wang, S.(2001).The asymptotic behavior of global smooth solutions to the macroscopic models for semiconductors.CHINESE ANNALS OF MATHEMATICS SERIES B,22(2),195-210.
MLA	Hsiao, L,et al."The asymptotic behavior of global smooth solutions to the macroscopic models for semiconductors".CHINESE ANNALS OF MATHEMATICS SERIES B 22.2(2001):195-210.