INTERACTIONS OF ELEMENTARY WAVES FOR THE AW-RASCLE MODEL

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）

	INTERACTIONS OF ELEMENTARY WAVES FOR THE AW-RASCLE MODEL
	Sun, Meina 1,2
刊名	SIAM JOURNAL ON APPLIED MATHEMATICS
	2009
卷号	69 期号:6 页码:1542-1558
关键词	interaction of elementary waves vacuum state Aw-Rascle model Riemann problem traffic flow hyperbolic conservation laws
通讯作者	Sun, MN (reprint author), Ludong Univ, Sch Math & Informat, Yantai 264025, Shandong, Peoples R China.
英文摘要	In this paper, we study the interactions of elementary waves for the traffic flow model proposed by Aw and Rascle in [SIAM J. Appl. Math., 60 (2000), pp. 916-938]. The solutions are obtained constructively when the initial data are three piecewise constant states. In particular, a new wave SJ in which a shock wave S and a contact discontinuity J coincide with each other is obtained during the process of interaction. Moreover, by studying the limits of the solutions as the perturbed parameter e tends to zero, it can be found that the Riemann solutions are stable for such perturbations with the initial data.
WOS标题词	Science & Technology ; Physical Sciences
类目[WOS]	Mathematics, Applied
研究领域[WOS]	Mathematics
关键词[WOS]	TRAFFIC FLOW ; COMBUSTION MODEL ; 2ND-ORDER MODELS ; RIEMANN PROBLEM
收录类别	SCI
语种	英语
WOS记录号	WOS:000265778200003
内容类型	期刊论文
源URL	[http://ir.wipm.ac.cn/handle/112942/2303]
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.Ludong Univ, Sch Math & Informat, Yantai 264025, Shandong, Peoples R China 2.Chinese Acad Sci, Wuhan Inst Phys & Math, Phys Math Lab, Wuhan 430071, Peoples R China
推荐引用方式 GB/T 7714	Sun, Meina. INTERACTIONS OF ELEMENTARY WAVES FOR THE AW-RASCLE MODEL[J]. SIAM JOURNAL ON APPLIED MATHEMATICS,2009,69(6):1542-1558.
APA	Sun, Meina.(2009).INTERACTIONS OF ELEMENTARY WAVES FOR THE AW-RASCLE MODEL.SIAM JOURNAL ON APPLIED MATHEMATICS,69(6),1542-1558.
MLA	Sun, Meina."INTERACTIONS OF ELEMENTARY WAVES FOR THE AW-RASCLE MODEL".SIAM JOURNAL ON APPLIED MATHEMATICS 69.6(2009):1542-1558.