Long-time self-similar asymptotic of the macroscopic quantum models

doi:10.1063/1.2949082

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	Long-time self-similar asymptotic of the macroscopic quantum models
	Li, Hai-Liang 1,4; Zhang, Guo-Jing 2; Zhang, Min 1; Hao, Chengchun3
	2008-07-01
发表期刊	JOURNAL OF MATHEMATICAL PHYSICS
ISSN	0022-2488
卷号	49 期号:7 页码:14
摘要	The unipolar and bipolar macroscopic quantum models derived recently, for instance, in the area of charge transport are considered in spatial one-dimensional whole space in the present paper. These models consist of nonlinear fourth-order parabolic equation for unipolar case or coupled nonlinear fourth-order parabolic system for bipolar case. We show for the first time the self-similarity property of the macroscopic quantum models in large time. Namely, we show that there exists a unique global strong solution with strictly positive density to the initial value problem of the macroscopic quantum models which tends to a self-similar wave (which is not the exact solution of the models) in large time at an algebraic time-decay rate. (C) 2008 American Institute of Physics.
DOI	10.1063/1.2949082
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:000258175300017
出版者	AMER INST PHYSICS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5994
专题	数学所
通讯作者	Li, Hai-Liang
作者单位	1.Capital Normal Univ, Dept Math, Beijing 100037, Peoples R China 2.Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China 3.CAS, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China 4.Capital Normal Univ, Inst Math & Interdisciplinary Sci, Beijing 100037, Peoples R China
推荐引用方式 GB/T 7714	Li, Hai-Liang,Zhang, Guo-Jing,Zhang, Min,et al. Long-time self-similar asymptotic of the macroscopic quantum models[J]. JOURNAL OF MATHEMATICAL PHYSICS,2008,49(7):14.
APA	Li, Hai-Liang,Zhang, Guo-Jing,Zhang, Min,&Hao, Chengchun.(2008).Long-time self-similar asymptotic of the macroscopic quantum models.JOURNAL OF MATHEMATICAL PHYSICS,49(7),14.
MLA	Li, Hai-Liang,et al."Long-time self-similar asymptotic of the macroscopic quantum models".JOURNAL OF MATHEMATICAL PHYSICS 49.7(2008):14.