Semiclassical limit of the Gross-Pitaevskii equation in an exterior domain

doi:10.1007/s00205-005-0383-4

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	Semiclassical limit of the Gross-Pitaevskii equation in an exterior domain
	Lin, FG ; Zhang, P
	2006
发表期刊	ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
ISSN	0003-9527
卷号	179 期号:1 页码:79-107
摘要	In this paper, we study the semiclassical limit of the Gross-Pitaevskii equation (a cubic nonlinear Schrodinger equation) with the Neumann boundary condition in an exterior domain. We prove that before the formation of singularities in the limit system, the quantum density and the quantum momentum converge to the unique solution of the compressible Euler equation with the slip boundary condition as the scaling parameter approaches 0.
DOI	10.1007/s00205-005-0383-4
语种	英语
WOS研究方向	Mathematics ; Mechanics
WOS类目	Mathematics, Interdisciplinary Applications ; Mechanics
WOS记录号	WOS:000233500700004
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/3570
专题	数学所
通讯作者	Lin, FG
作者单位	1.Courant Inst, New York, NY 10012 USA 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Lin, FG,Zhang, P. Semiclassical limit of the Gross-Pitaevskii equation in an exterior domain[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,2006,179(1):79-107.
APA	Lin, FG,&Zhang, P.(2006).Semiclassical limit of the Gross-Pitaevskii equation in an exterior domain.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,179(1),79-107.
MLA	Lin, FG,et al."Semiclassical limit of the Gross-Pitaevskii equation in an exterior domain".ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 179.1(2006):79-107.