On the hydrodynamic limit of Ginzburg-Landau vortices

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	On the hydrodynamic limit of Ginzburg-Landau vortices
	Lin, FG ; Zhang, P
	2000
发表期刊	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
ISSN	1078-0947
卷号	6 期号:1 页码:121-142
摘要	Here we started with the dynamical law for finitely many Ginzburg-Landau vortices which was proved in [LX]. Then use the point vortex method (and the earlier vortex-method) for incompressible Euler equations in 2-D to rigorously establish the hydrodynamic limit for such finite vortices dynamics. We finally establish various existence and uniqueness of global dissipative solutions to the hydrodynamic limiting equations.
关键词	Ginzburg-Landau vortices hydrodynamics dissipative solutions point vortex method
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000085625000009
出版者	SOUTHWEST MISSOURI STATE UNIV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/15145
专题	中国科学院数学与系统科学研究院
通讯作者	Lin, FG
作者单位	1.NYU, Courant Inst, New York, NY 10012 USA 2.Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Lin, FG,Zhang, P. On the hydrodynamic limit of Ginzburg-Landau vortices[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,2000,6(1):121-142.
APA	Lin, FG,&Zhang, P.(2000).On the hydrodynamic limit of Ginzburg-Landau vortices.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,6(1),121-142.
MLA	Lin, FG,et al."On the hydrodynamic limit of Ginzburg-Landau vortices".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 6.1(2000):121-142.