Global solutions to vortex density equations arising from sup-conductivity

doi:10.1016/j.anihpc.2004.07.002

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	Global solutions to vortex density equations arising from sup-conductivity
	Masmoudi, N ; Zhang, P
	2005
发表期刊	ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE
ISSN	0294-1449
卷号	22 期号:4 页码:441-458
摘要	In the first part of this paper, we establish the existence of a global renormalized solution to a family of vortex density equations arising from superconductivity. And we show by an explicit example the necessity of the notion of renormalized solution to be used here. In the second part, we prove the global existence and uniqueness of W-1,W-p and C-alpha solutions to a modified model, which is derived from the physically sign-changing vortices case. (c) 2005 Elsevier SAS. All rights reserved.
关键词	superconductivity vortex density hydrodynamics young measure renormalized solutions
DOI	10.1016/j.anihpc.2004.07.002
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000230055500003
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/1731
专题	数学所
通讯作者	Masmoudi, N
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	Masmoudi, N,Zhang, P. Global solutions to vortex density equations arising from sup-conductivity[J]. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE,2005,22(4):441-458.
APA	Masmoudi, N,&Zhang, P.(2005).Global solutions to vortex density equations arising from sup-conductivity.ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE,22(4),441-458.
MLA	Masmoudi, N,et al."Global solutions to vortex density equations arising from sup-conductivity".ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE 22.4(2005):441-458.