Existence of weak solutions to some vortex density models

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	Existence of weak solutions to some vortex density models
	Du, Q ; Zhang, P
	2003
发表期刊	SIAM JOURNAL ON MATHEMATICAL ANALYSIS
ISSN	0036-1410
卷号	34 期号:6 页码:1279-1299
摘要	We study the weak solutions to equations arising in the modeling of vortexmotions in superfluids such as superconductors. The global existence of measure-valued solutions is established with a bounded Radon measure as initial data. Moreover, we get a local space-time L-q estimate for the continuous part of the solution, and we prove the global existence of a distributional weak solution for a particular case. We also consider a modi. cation to the model in order to physically account for the different signs of vortices, and we present, in one space dimension, the global existence of weak solutions with the initial data in BV for the modified model.
关键词	quantized vortices vortex density hydrodynamics vortex sheets weak convergence measure-valued solutions
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000183459100002
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18416
专题	中国科学院数学与系统科学研究院
通讯作者	Du, Q
作者单位	1.Penn State Univ, Dept Math, University Pk, PA 16802 USA 2.Chinese Acad Sci, Lab Sci & Engn Comp, Beijing, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Du, Q,Zhang, P. Existence of weak solutions to some vortex density models[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2003,34(6):1279-1299.
APA	Du, Q,&Zhang, P.(2003).Existence of weak solutions to some vortex density models.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,34(6),1279-1299.
MLA	Du, Q,et al."Existence of weak solutions to some vortex density models".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 34.6(2003):1279-1299.