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	L-1 singular limit for relaxation and viscosity approximations of extended traffic flow models
	Klingenberg, Christian1; Lu, Yun-guang2,3; Zhao, Hui-jiang4
刊名	ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
	2003
关键词	L-1 singular limit traffic flow model relaxation and viscosity approximation
英文摘要	This paper considers the Cauchy problem for an extended traffic flow model with L-1-bounded initial data. A solution of the corresponding equilibrium equation with L-1-bounded initial data is given by the limit of solutions of viscous approximations of the original system as the dissipation parameter is an element of tends to zero more slowly than the response time T. The proof of convergence is obtained by applying the Young measure to solutions introduced by DiPerna and, based on the estimate
WOS标题词	Science & Technology ; Physical Sciences
类目[WOS]	Mathematics, Applied ; Mathematics
研究领域[WOS]	Mathematics
收录类别	SCI
语种	英语
WOS记录号	WOS:000208969400020
公开日期	2015-12-08
内容类型	期刊论文
源URL	[http://ir.wipm.ac.cn/handle/112942/8895]
专题	武汉物理与数学研究所_2011年以前论文发表（包括2011年）
作者单位	1.Univ Wurzburg, Dept Math, D-97074 Wurzburg, Germany 2.Univ Sci & Technol China, Dept Math, Hefei, Peoples R China 3.Univ Nacl Colombia, Dept Matemat, Bogota, Colombia 4.Chinese Acad Sci, Inst Phys & Math, Wuhan, Peoples R China
推荐引用方式 GB/T 7714	Klingenberg, Christian,Lu, Yun-guang,Zhao, Hui-jiang. L-1 singular limit for relaxation and viscosity approximations of extended traffic flow models[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS,2003.
APA	Klingenberg, Christian,Lu, Yun-guang,&Zhao, Hui-jiang.(2003).L-1 singular limit for relaxation and viscosity approximations of extended traffic flow models.ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS.
MLA	Klingenberg, Christian,et al."L-1 singular limit for relaxation and viscosity approximations of extended traffic flow models".ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS (2003).

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