L-1 singular limit for relaxation and viscosity approximations of extended traffic flow models
文献类型：期刊论文
| 作者 | Klingenberg, Christian1; Lu, Yun-guang2,3; Zhao, Hui-jiang4 |
| 刊名 | ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2003 |
| 关键词 | L-1 singular limit traffic flow model relaxation and viscosity approximation |
| 英文摘要 | This paper considers the Cauchy problem for an extended traffic flow model with L-1-bounded initial data. A solution of the corresponding equilibrium equation with L-1-bounded initial data is given by the limit of solutions of viscous approximations of the original system as the dissipation parameter is an element of tends to zero more slowly than the response time T. The proof of convergence is obtained by applying the Young measure to solutions introduced by DiPerna and, based on the estimate |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 类目[WOS] | Mathematics, Applied ; Mathematics |
| 研究领域[WOS] | Mathematics |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000208969400020 |
| 公开日期 | 2015-12-08 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/8895]  |
| 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.Univ Wurzburg, Dept Math, D-97074 Wurzburg, Germany 2.Univ Sci & Technol China, Dept Math, Hefei, Peoples R China 3.Univ Nacl Colombia, Dept Matemat, Bogota, Colombia 4.Chinese Acad Sci, Inst Phys & Math, Wuhan, Peoples R China |
| 推荐引用方式 GB/T 7714 | Klingenberg, Christian,Lu, Yun-guang,Zhao, Hui-jiang. L-1 singular limit for relaxation and viscosity approximations of extended traffic flow models[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS,2003. |
| APA | Klingenberg, Christian,Lu, Yun-guang,&Zhao, Hui-jiang.(2003).L-1 singular limit for relaxation and viscosity approximations of extended traffic flow models.ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS. |
| MLA | Klingenberg, Christian,et al."L-1 singular limit for relaxation and viscosity approximations of extended traffic flow models".ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS (2003). |
入库方式： OAI收割
来源：武汉物理与数学研究所
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