LARGE TIME BEHAVIOR OF SOLUTIONS TO N-DIMENSIONAL BIPOLAR HYDRODYNAMIC MODELS FOR SEMICONDUCTORS

doi:10.1137/100810228

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	LARGE TIME BEHAVIOR OF SOLUTIONS TO N-DIMENSIONAL BIPOLAR HYDRODYNAMIC MODELS FOR SEMICONDUCTORS
	Huang, Feimin1 ; Mei, Ming 2,3; Wang, Yong1
	2011
发表期刊	SIAM JOURNAL ON MATHEMATICAL ANALYSIS
ISSN	0036-1410
卷号	43 期号:4 页码:1595-1630
摘要	In this paper, we study the n-dimensional (n >= 1) bipolar hydrodynamic model for semiconductors in the form of Euler-Poisson equations. In the 1-D case, when the difference between the initial electron mass and the initial hole mass is nonzero (switch-on case), the stability of nonlinear diffusion waves has been open for a long time. In order to overcome this difficulty, we ingeniously construct some new correction functions to delete the gaps between the original solutions and the diffusion waves in L(2)-space, so that we can deal with the 1-D case for general perturbations, and prove the L(infinity)-stability of diffusion waves in the 1-D case. The optimal convergence rates are also obtained. Furthermore, based on the 1-D results, we establish some crucial energy estimates and apply a new but key inequality to prove the stability of planar diffusion waves in n-D case. This is the first result for the multidimensional bipolar hydrodynamic model of semiconductors.
关键词	bipolar hydrodynamic model semiconductor nonlinear damping (planar) nonlinear diffusion waves asymptotic behavior convergence rates
DOI	10.1137/100810228
语种	英语
资助项目	NSFC[10825102] ; NSFC-NSAF[10676037] ; 973 project of China[2006CB805902] ; Natural Sciences and Engineering Research Council of Canada under NSERC[RGPIN 354724-08]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000294289500004
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/11425
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
推荐引用方式 GB/T 7714	Huang, Feimin,Mei, Ming,Wang, Yong. LARGE TIME BEHAVIOR OF SOLUTIONS TO N-DIMENSIONAL BIPOLAR HYDRODYNAMIC MODELS FOR SEMICONDUCTORS[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2011,43(4):1595-1630.
APA	Huang, Feimin,Mei, Ming,&Wang, Yong.(2011).LARGE TIME BEHAVIOR OF SOLUTIONS TO N-DIMENSIONAL BIPOLAR HYDRODYNAMIC MODELS FOR SEMICONDUCTORS.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,43(4),1595-1630.
MLA	Huang, Feimin,et al."LARGE TIME BEHAVIOR OF SOLUTIONS TO N-DIMENSIONAL BIPOLAR HYDRODYNAMIC MODELS FOR SEMICONDUCTORS".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 43.4(2011):1595-1630.