Weak solutions to isothermal hydrodynamic model for semiconductor devices

doi:10.1016/j.jde.2009.07.032

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	Weak solutions to isothermal hydrodynamic model for semiconductor devices
	Huang, Feimin2 ; Li, Tianhong2 ; Yu, Huimin 1,2
	2009-12-01
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	247 期号:11 页码:3070-3099
摘要	In this paper. the Cauchy problem of the isothermal hydrodynamic model for semiconductor devices is investigated. The existence of global weak entropy solutions with large initial data is obtained by using a modified fractional step Lax-Friedrichs scheme and the theory of compensated compactness. As a byproduct, the existence of entropy solutions to the Cauchy problem of the isentropic hydrodynamic model for a semiconductor with infinite mass is also proved. (C) 2009 Elsevier Inc. All rights reserved.
关键词	Isothermal Euler-Poisson equations Entropy Compensated compactness Semiconductor
DOI	10.1016/j.jde.2009.07.032
语种	英语
资助项目	Outstanding Youth Foundation of NSFC[10825102] ; NSFC-NSAFG[10676037] ; Major State Basic Research Development Program of China[2006CB805902] ; National Natural Science Foundation of China[10701073]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000271209000008
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/8856
专题	应用数学研究所数学所
通讯作者	Yu, Huimin
作者单位	1.Shandong Normal Univ, Dept Math, Jinan 250014, Peoples R China 2.Acad Sinica, Acad Math & Syst Sci, Beijing 100091, Peoples R China
推荐引用方式 GB/T 7714	Huang, Feimin,Li, Tianhong,Yu, Huimin. Weak solutions to isothermal hydrodynamic model for semiconductor devices[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2009,247(11):3070-3099.
APA	Huang, Feimin,Li, Tianhong,&Yu, Huimin.(2009).Weak solutions to isothermal hydrodynamic model for semiconductor devices.JOURNAL OF DIFFERENTIAL EQUATIONS,247(11),3070-3099.
MLA	Huang, Feimin,et al."Weak solutions to isothermal hydrodynamic model for semiconductor devices".JOURNAL OF DIFFERENTIAL EQUATIONS 247.11(2009):3070-3099.