Stability of the Riemann solutions for a Chaplygin gas
文献类型：期刊论文
| 作者 | Qu Aifang; Wang Zhen |
| 刊名 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
 |
| 出版日期 | 2014 |
| 卷号 | 409期号:1页码:347-361 |
| 关键词 | Stability Delta wave Chaplygin gas Riemann problem Wave interaction |
| 英文摘要 | In this paper, we study the structural stability of solutions to the Riemann problem for one-dimensional isentropic Chaplygin gas. We perturb the Riemann initial data by taking three piecewise constant states and construct the global structure. By letting the perturbed parameter epsilon tend to zero, we prove that the Riemann solutions are stable under the local small perturbations of the Riemann initial data even when the initial perturbed density depending on the parameter but with no mass concentration limit. (C) 2013 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] | SYSTEM |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000324974700033 |
| 公开日期 | 2015-07-14 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/1452]  |
| 专题 | 武汉物理与数学研究所_数学物理与应用研究部 |
| 作者单位 | Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China |
| 推荐引用方式 GB/T 7714 | Qu Aifang,Wang Zhen. Stability of the Riemann solutions for a Chaplygin gas[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2014,409(1):347-361. |
| APA | Qu Aifang,&Wang Zhen.(2014).Stability of the Riemann solutions for a Chaplygin gas.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,409(1),347-361. |
| MLA | Qu Aifang,et al."Stability of the Riemann solutions for a Chaplygin gas".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 409.1(2014):347-361. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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