INTERACTIONS OF ELEMENTARY WAVES FOR THE AW-RASCLE MODEL
文献类型：期刊论文
| 作者 | Sun, Meina1,2 |
| 刊名 | SIAM JOURNAL ON APPLIED MATHEMATICS
 |
| 出版日期 | 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 |
| 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. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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