THE WELL-POSEDNESS AND ASYMPTOTICS OF MULTI-DIMENSIONAL QUANTUM HYDRODYNAMICS

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	THE WELL-POSEDNESS AND ASYMPTOTICS OF MULTI-DIMENSIONAL QUANTUM HYDRODYNAMICS
	Hsiao Ling 1; Li Hailiang 2
	2009-05-01
发表期刊	ACTA MATHEMATICA SCIENTIA
ISSN	0252-9602
卷号	29 期号:3 页码:552-568
摘要	The multi-dimensional quantum hydrodynamic equations for charge transport in ultra-small electronic devices like semiconductors, where quantum effects (like particle tunnelling through potential barriers and built-up in quantum wells) take place, is considered in the present paper, and the recent progress on well-posedness, stability analysis, and small scaling limits are reviewed.
关键词	quantum hydrodynamics well-posedness longtime behavior small scale limit
语种	英语
资助项目	NSFC[10431060] ; NSFC[10871134] ; Beijing Nova program[2005B48] ; NCET support of the Ministry of Education of China ; Huo Ying Dong Foundation[111033]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000265911500008
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/8200
专题	中国科学院数学与系统科学研究院
通讯作者	Hsiao Ling
作者单位	1.Chinese Acad Sci, Inst Math, AMSS, Beijing 100190, Peoples R China 2.Capital Normal Univ, Dept Math, Beijing 100037, Peoples R China
推荐引用方式 GB/T 7714	Hsiao Ling,Li Hailiang. THE WELL-POSEDNESS AND ASYMPTOTICS OF MULTI-DIMENSIONAL QUANTUM HYDRODYNAMICS[J]. ACTA MATHEMATICA SCIENTIA,2009,29(3):552-568.
APA	Hsiao Ling,&Li Hailiang.(2009).THE WELL-POSEDNESS AND ASYMPTOTICS OF MULTI-DIMENSIONAL QUANTUM HYDRODYNAMICS.ACTA MATHEMATICA SCIENTIA,29(3),552-568.
MLA	Hsiao Ling,et al."THE WELL-POSEDNESS AND ASYMPTOTICS OF MULTI-DIMENSIONAL QUANTUM HYDRODYNAMICS".ACTA MATHEMATICA SCIENTIA 29.3(2009):552-568.