Well-posedness and inviscid limit behavior of solution for the generalized 1D Ginzburg-Landau equation

doi:10.1016/j.matpur.2009.04.003

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	Well-posedness and inviscid limit behavior of solution for the generalized 1D Ginzburg-Landau equation
	Huo, Zhaohui1,2 ; Jia, Yueling 3
	2009-07-01
发表期刊	JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES
ISSN	0021-7824
卷号	92 期号:1 页码:18-51
摘要	The Cauchy problem of the one-dimensional generalized Ginzburg-Landau (GGL) equation is considered. The local well-posedness is obtained for initial data in H(s)(R) with s > 0, and global result in H(s)(R) with s > 0 is also obtained under some conditions. Moreover, the relation between the solution for GGL equation and the solution for the derivative nonlinear Schrodinger (DNLS) equation is studied. It is proved that for some T > 0, the solution of Cauchy problem for the GGL equation converge to the solution of Cauchy problem for the DNLS in the natural space C([0, T]; H(s)) with s > 1/2 if some coefficients tend to zero. Moreover, if initial data belong to H(2), the convergence holds in C([0, T]; H(1)) for any T > 0. (c) 2009 Elsevier Masson SAS. All rights reserved.
关键词	Generalized 1D Ginzburg-Landau equation Derivative nonlinear Schrodinger equation Well-posedness Inviscid limit behavior
DOI	10.1016/j.matpur.2009.04.003
语种	英语
资助项目	NSF of China[10601006] ; NSF of China[10701013] ; Department of Mathematics of City University of Hong Kong
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000268409300002
出版者	GAUTHIER-VILLARS/EDITIONS ELSEVIER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/8869
专题	数学所
通讯作者	Huo, Zhaohui
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China 2.City Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China 3.Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China
推荐引用方式 GB/T 7714	Huo, Zhaohui,Jia, Yueling. Well-posedness and inviscid limit behavior of solution for the generalized 1D Ginzburg-Landau equation[J]. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES,2009,92(1):18-51.
APA	Huo, Zhaohui,&Jia, Yueling.(2009).Well-posedness and inviscid limit behavior of solution for the generalized 1D Ginzburg-Landau equation.JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES,92(1),18-51.
MLA	Huo, Zhaohui,et al."Well-posedness and inviscid limit behavior of solution for the generalized 1D Ginzburg-Landau equation".JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES 92.1(2009):18-51.