Formation of delta shocks and vacuum states in the vanishing pressure limit of Riemann solutions to the perturbed Aw-Rascle model
文献类型：期刊论文
| 作者 | Shen, Chun1,2; Sun, Meina1,2 |
| 刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2010-12-15 |
| 卷号 | 249期号:12页码:3024-3051 |
| 关键词 | Delta shock wave Vacuum state Vanishing pressure limit Measure solution Riemann problem Pressureless gas dynamics Aw-Rascle model Traffic flow |
| 产权排序 | 第二 |
| 英文摘要 | A traffic flow model describing the formation and dynamics of traffic jams was introduced by Berthelin et al., which consists of a constrained pressureless gas dynamics system and can be derived from the Aw-Rascle model under the constraint condition p <= p* by letting the traffic pressure vanish. In this paper, we give up this constraint condition and consider the following form |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 学科主题 | 数学 |
| 类目[WOS] | Mathematics |
| 研究领域[WOS] | Mathematics |
| 关键词[WOS] | COMPRESSIBLE EULER EQUATIONS ; TRAFFIC FLOW MODELS ; CONSERVATION-LAWS ; HYPERBOLIC SYSTEMS ; 2ND-ORDER MODELS ; WAVES ; DYNAMICS ; RESURRECTION ; BEHAVIOR ; REQUIEM |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000284673000005 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/2075]  |
| 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, Peoples R China 2.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China |
| 推荐引用方式 GB/T 7714 | Shen, Chun,Sun, Meina. Formation of delta shocks and vacuum states in the vanishing pressure limit of Riemann solutions to the perturbed Aw-Rascle model[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2010,249(12):3024-3051. |
| APA | Shen, Chun,&Sun, Meina.(2010).Formation of delta shocks and vacuum states in the vanishing pressure limit of Riemann solutions to the perturbed Aw-Rascle model.JOURNAL OF DIFFERENTIAL EQUATIONS,249(12),3024-3051. |
| MLA | Shen, Chun,et al."Formation of delta shocks and vacuum states in the vanishing pressure limit of Riemann solutions to the perturbed Aw-Rascle model".JOURNAL OF DIFFERENTIAL EQUATIONS 249.12(2010):3024-3051. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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