ASYMPTOTIC CONVERGENCE TO STATIONARY WAVES FOR UNIPOLAR HYDRODYNAMIC MODEL OF SEMICONDUCTORS

doi:10.1137/100793025

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	ASYMPTOTIC CONVERGENCE TO STATIONARY WAVES FOR UNIPOLAR HYDRODYNAMIC MODEL OF SEMICONDUCTORS
	Huang, Feimin1 ; Mei, Ming 2,3; Wang, Yong1 ; Yu, Huimin 4
	2011
发表期刊	SIAM JOURNAL ON MATHEMATICAL ANALYSIS
ISSN	0036-1410
卷号	43 期号:1 页码:411-429
摘要	In this paper, we study the one-dimensional unipolar hydrodynamic model for semiconductors in the form of Euler-Poisson equations. In the case when the state constants on the current density and the electric field are nonzero (switch-on case), the stability of stationary waves of one-dimensional isentropic Euler-Poisson equations for the unipolar hydrodynamic model has been open. In order to overcome this difficulty, we first analyze the behaviors of the solutions at x = +/-infinity, and observe what are the exact gaps between the original solutions and the stationary solutions in L(2)-space; then we technically construct some new correction functions to delete these gaps. Finally, based on the energy methods, we prove that the solutions of one-dimensional isentropic Euler-Poisson equations for the unipolar hydrodynamic model decay exponentially fast to the stationary solutions.
关键词	Euler-Poisson unipolar hydrodynamic model semiconductor nonlinear damping asymptotic behavior convergence rates
DOI	10.1137/100793025
语种	英语
资助项目	NSFC[10825102] ; NSFC[10901095] ; National Basic Research Program of China (973 Program)[2011CB808002] ; Natural Sciences and Engineering Research Council of Canada under NSERC[RGPIN 354724-08] ; Promotive Research Fund for Excellent Young and Middle-Aged Scientists of the Shandong Province[BS2010SF025]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000287696400016
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/11373
专题	应用数学研究所
通讯作者	Wang, Yong
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China 2.Champlain Coll, Dept Math, St Lambert, 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 STATIONARY WAVES FOR UNIPOLAR HYDRODYNAMIC MODEL OF SEMICONDUCTORS[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2011,43(1):411-429.
APA	Huang, Feimin,Mei, Ming,Wang, Yong,&Yu, Huimin.(2011).ASYMPTOTIC CONVERGENCE TO STATIONARY WAVES FOR UNIPOLAR HYDRODYNAMIC MODEL OF SEMICONDUCTORS.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,43(1),411-429.
MLA	Huang, Feimin,et al."ASYMPTOTIC CONVERGENCE TO STATIONARY WAVES FOR UNIPOLAR HYDRODYNAMIC MODEL OF SEMICONDUCTORS".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 43.1(2011):411-429.