Riemann boundary value problems and reflection of shock for the Chaplygin gas
文献类型：期刊论文
| 作者 | Chen ShuXing1; Qu AiFang2 |
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 2012-04-01 |
| 卷号 | 55期号:4页码:671-685 |
| 关键词 | Riemann boundary value problem reflection of shock Chaplygin gas wave interaction Euler system |
| 英文摘要 | In this paper, we study two-dimensional Riemann boundary value problems of Euler system for the isentropic and irrotational Chaplygin gas with initial data being two constant states given in two sectors respectively, where one sector is a quadrant and the other one has an acute vertex angle. We prove that the Riemann boundary value problem admits a global self-similar solution, if either the initial states are close, or the smaller sector is also near a quadrant. Our result can be applied to solving the problem of shock reflection by a ramp. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 类目[WOS] | Mathematics, Applied ; Mathematics |
| 研究领域[WOS] | Mathematics |
| 关键词[WOS] | HYPERBOLIC SYSTEMS |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000302298100001 |
| 公开日期 | 2015-07-14 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/1639]  |
| 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 | 1.Fudan Univ, Sch Math Sci, Shanghai 200433, 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 | Chen ShuXing,Qu AiFang. Riemann boundary value problems and reflection of shock for the Chaplygin gas[J]. SCIENCE CHINA-MATHEMATICS,2012,55(4):671-685. |
| APA | Chen ShuXing,&Qu AiFang.(2012).Riemann boundary value problems and reflection of shock for the Chaplygin gas.SCIENCE CHINA-MATHEMATICS,55(4),671-685. |
| MLA | Chen ShuXing,et al."Riemann boundary value problems and reflection of shock for the Chaplygin gas".SCIENCE CHINA-MATHEMATICS 55.4(2012):671-685. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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