A NOTE ON THE INTERACTIONS OF ELEMENTARY WAVES FOR THE AR TRAFFIC FLOW MODEL WITHOUT VACUUM
文献类型：期刊论文
| 作者 | Sun Meina1,2 |
| 刊名 | ACTA MATHEMATICA SCIENTIA
 |
| 出版日期 | 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 |
| 产权排序 | 第一 |
| 通讯作者 | 孙梅娜 |
| 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. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 学科主题 | 非线性偏微分方程 |
| 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 |
| 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. |
入库方式： OAI收割
来源：武汉物理与数学研究所
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。