Asymptotic convergence to planar stationary waves for multi-dimensional unipolar hydrodynamic model of semiconductors

doi:10.1016/j.jde.2011.04.007

CSpace > 应用数学研究所

	Asymptotic convergence to planar stationary waves for multi-dimensional unipolar hydrodynamic model of semiconductors
	Huang, Feimin1 ; Mei, Ming 2,3; Wang, Yong1 ; Yu, Huimin 4
	2011-08-15
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	251 期号:4-5 页码:1305-1331
摘要	In this study, we consider the high dimensional unipolar hydrodynamic model for semiconductors in the form of Euler-Poisson equations. Based on the results that we have obtained in the first part (Huang, et al., 2011 [16]) for the 1-D case, we can further show the stability of planar stationary waves in multi-dimensional case. Utilizing the energy method, we obtain the global existence of the solutions of high dimensional Euler-Poisson equations for the unipolar hydrodynamic model, and prove that the solutions converge to the planar stationary waves time-exponentially. (C) 2011 Elsevier Inc. All rights reserved.
关键词	Euler-Poisson equations Unipolar hydrodynamic model of semiconductor Nonlinear damping Planar stationary waves Asymptotic convergence Exponential decay rates
DOI	10.1016/j.jde.2011.04.007
语种	英语
资助项目	NSFC[10825102] ; NSFC[10901095] ; NSFC-NSAF[10676037] ; 973 project of China[2006CB805902] ; Natural Sciences and Engineering Research Council of Canada under the NSERC[RGPIN 354724-08] ; Promotive research fund for excellent young and middle-aged scientists of Shandong Province[BS2010SF025]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000291900800022
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/12798
专题	应用数学研究所
通讯作者	Wang, Yong
作者单位	1.Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Champlain Coll St Lambert, Dept Math, Quebec City, PQ J4P 3P2, Canada 3.McGill Univ, Dept Math & Stat, Montreal, PQ H3A 2K6, Canada 4.Shandong Normal Univ, Dept Math, Jinan 250014, Peoples R China
推荐引用方式 GB/T 7714	Huang, Feimin,Mei, Ming,Wang, Yong,et al. Asymptotic convergence to planar stationary waves for multi-dimensional unipolar hydrodynamic model of semiconductors[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2011,251(4-5):1305-1331.
APA	Huang, Feimin,Mei, Ming,Wang, Yong,&Yu, Huimin.(2011).Asymptotic convergence to planar stationary waves for multi-dimensional unipolar hydrodynamic model of semiconductors.JOURNAL OF DIFFERENTIAL EQUATIONS,251(4-5),1305-1331.
MLA	Huang, Feimin,et al."Asymptotic convergence to planar stationary waves for multi-dimensional unipolar hydrodynamic model of semiconductors".JOURNAL OF DIFFERENTIAL EQUATIONS 251.4-5(2011):1305-1331.