A NOTE ON THE INTERACTIONS OF ELEMENTARY WAVES FOR THE AR TRAFFIC FLOW MODEL WITHOUT VACUUM

CORC > 武汉物理与数学研究所 > 中国科学院武汉物理与数学研究所 > 2011年以前论文发表（包括2011年）

	A NOTE ON THE INTERACTIONS OF ELEMENTARY WAVES FOR THE AR TRAFFIC FLOW MODEL WITHOUT VACUUM
	Sun Meina 1,2
刊名	ACTA MATHEMATICA SCIENTIA
	2011-07-01
卷号	31 期号:4 页码:1503-1512
关键词	interaction of elementary wave Aw-Rascle model Riemann problem traffic flow hyperbolic conservation laws
通讯作者	孙梅娜
产权排序	第一
英文摘要	In this note, we consider the interactions of elementary waves for the traffic flow model proposed by Aw and Rascle when the vacuum is not involved. The solutions are obtained constructively and globally when the initial data consist of three pieces of constant states. Furthermore, it can be found that the Riemann solutions are stable with respect to such small perturbations of the initial data in this particular situation by investigating the limits of the solutions as the perturbed parameter e goes to zero.
学科主题	非线性偏微分方程
WOS标题词	Science & Technology ; Physical Sciences
类目[WOS]	Mathematics
研究领域[WOS]	Mathematics
关键词[WOS]	AW-RASCLE MODEL ; RIEMANN SOLUTIONS ; 2ND-ORDER MODELS
收录类别	SCI
语种	英语
WOS记录号	WOS:000293657600026
内容类型	期刊论文
源URL	[http://ir.wipm.ac.cn/handle/112942/1836]
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.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China 2.Ludong Univ, Sch Math & Informat, Yantai 264025, Peoples R China
推荐引用方式 GB/T 7714	Sun Meina. A NOTE ON THE INTERACTIONS OF ELEMENTARY WAVES FOR THE AR TRAFFIC FLOW MODEL WITHOUT VACUUM[J]. ACTA MATHEMATICA SCIENTIA,2011,31(4):1503-1512.
APA	Sun Meina.(2011).A NOTE ON THE INTERACTIONS OF ELEMENTARY WAVES FOR THE AR TRAFFIC FLOW MODEL WITHOUT VACUUM.ACTA MATHEMATICA SCIENTIA,31(4),1503-1512.
MLA	Sun Meina."A NOTE ON THE INTERACTIONS OF ELEMENTARY WAVES FOR THE AR TRAFFIC FLOW MODEL WITHOUT VACUUM".ACTA MATHEMATICA SCIENTIA 31.4(2011):1503-1512.