Interactions of delta shock waves for the transport equations with split delta functions
文献类型：期刊论文
| 作者 | Shen, Chun1,2; Sun, Meina1,2 |
| 刊名 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
 |
| 出版日期 | 2009-03-15 |
| 卷号 | 351期号:2页码:747-755 |
| 关键词 | Delta shock wave Vacuum state Interaction Measure solution Transport equations Riemann problem |
| 通讯作者 | Shen, C (reprint author), Ludong Univ, Sch Math & Informat, Hongqi Rd 184, Yantai 264025, Shandong, Peoples R China. |
| 英文摘要 | This paper is concerned with the interactions of delta-shock waves and the vacuum states between the two contact discontinuities for the transport equations. The solutions are obtained constructively when the initial data are three piecewise constant states. The global structure and large time-asymptotic behaviors of the solutions are analyzed case by case. Moreover, it can be found chat the Riemann solutions are stable for such small perturbations with initial data by studying the limits of the solutions when the perturbed parameter a tends to zero. (c) 2008 Elsevier Inc. All rights reserved. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 类目[WOS] | Mathematics, Applied ; Mathematics |
| 研究领域[WOS] | Mathematics |
| 关键词[WOS] | STRICTLY HYPERBOLIC SYSTEM ; CONSERVATION-LAWS |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000261845100024 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/2254]  |
| 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 | Shen, Chun,Sun, Meina. Interactions of delta shock waves for the transport equations with split delta functions[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2009,351(2):747-755. |
| APA | Shen, Chun,&Sun, Meina.(2009).Interactions of delta shock waves for the transport equations with split delta functions.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,351(2),747-755. |
| MLA | Shen, Chun,et al."Interactions of delta shock waves for the transport equations with split delta functions".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 351.2(2009):747-755. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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