Existence of weak solutions to some vortex density models

	Existence of weak solutions to some vortex density models
	Du, Q ; Zhang, P
刊名	SIAM JOURNAL ON MATHEMATICAL ANALYSIS
	2003
卷号	34 期号:6 页码:1279-1299
关键词	quantized vortices vortex density hydrodynamics vortex sheets weak convergence measure-valued solutions
ISSN号	0036-1410
英文摘要	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.
WOS研究方向	Mathematics
语种	英语
出版者	SIAM PUBLICATIONS
WOS记录号	WOS:000183459100002
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/18415]
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.