On the hydrodynamic limit of Ginzburg-Landau wave vortices

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	On the hydrodynamic limit of Ginzburg-Landau wave vortices
	Lin, FH ; Zhang, P
	2002-07-01
发表期刊	COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS
ISSN	0010-3640
卷号	55 期号:7 页码:831-856
摘要	In this paper, we study the hydrodynamic limit of the finite Ginzburg-Landau wave vortices, which was established in [15]. Unlike the classical vortex method for incompressible Euler equations, we prove here that the densities approximated by the vortex blob method associated with the Ginzburg-Landau wave vortices tend to the solutions of the pressureless compressible Euler-Poisson equations. The convergence of such approximation is proven before the formation of singularities in the limit system as the blob sizes and the grid sizes tend to zero at appropriate rates. (C) 2002 Wiley Periodicals, Inc.
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000175695200002
出版者	JOHN WILEY & SONS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/17799
专题	中国科学院数学与系统科学研究院
通讯作者	Lin, FH
作者单位	1.NYU, 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, FH,Zhang, P. On the hydrodynamic limit of Ginzburg-Landau wave vortices[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS,2002,55(7):831-856.
APA	Lin, FH,&Zhang, P.(2002).On the hydrodynamic limit of Ginzburg-Landau wave vortices.COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS,55(7),831-856.
MLA	Lin, FH,et al."On the hydrodynamic limit of Ginzburg-Landau wave vortices".COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS 55.7(2002):831-856.