Wave interactions and stability of the Riemann solutions for the chromatography equations
文献类型：期刊论文
| 作者 | Shen, Chun1,2 |
| 刊名 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
 |
| 出版日期 | 2010-03-15 |
| 卷号 | 365期号:2页码:609-618 |
| 关键词 | Wave interactions Riemann problem Temple class Chromatography system Hyperbolic conservation laws |
| 产权排序 | 第二 |
| 英文摘要 | We prove that the Riemann solutions are stable for the chromatography system under the local small perturbations of the Riemann initial data. The proof is based on the detailed analysis of the wave interactions by applying the method of characteristic analysis. It is noteworthy that both the propagation directions of the shock wave S and rarefaction wave R are unchanged when they interact with the contact discontinuity J. Moreover, the global structures and large time asymptotic behaviors of the perturbed Riemann solutions are constructed and analyzed case by case. (C) 2009 Elsevier Inc. All rights reserved. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 学科主题 | 数学 |
| 类目[WOS] | Mathematics, Applied ; Mathematics |
| 研究领域[WOS] | Mathematics |
| 关键词[WOS] | L-INFINITY SOLUTIONS ; CONSERVATION-LAWS ; CHARACTERISTIC CURVES ; SYSTEMS ; UNIQUENESS ; MODEL |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000274351200017 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/2006]  |
| 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, Phys Math Lab, Wuhan 430071, Peoples R China |
| 推荐引用方式 GB/T 7714 | Shen, Chun. Wave interactions and stability of the Riemann solutions for the chromatography equations[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2010,365(2):609-618. |
| APA | Shen, Chun.(2010).Wave interactions and stability of the Riemann solutions for the chromatography equations.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,365(2),609-618. |
| MLA | Shen, Chun."Wave interactions and stability of the Riemann solutions for the chromatography equations".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 365.2(2010):609-618. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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