TWO-DIMENSIONAL RIEMANN PROBLEMS FOR CHAPLYGIN GAS
文献类型：期刊论文
| 作者 | Chen, Shuxing1; Qu, Aifang2 |
| 刊名 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS
 |
| 出版日期 | 2012 |
| 卷号 | 44期号:3页码:2146-2178 |
| 关键词 | Riemann problem Chaplygin gas wave interaction Euler system |
| 英文摘要 | In this paper we study two-dimensional Riemann problems of the Euler system for Chaplygin gas with initial data being three constant states separated by a Y-type curve. We prove that the general two-dimensional Y-type Riemann problem for the isentropic and irrotational Chaplygin gas admits a global self-similar solution, provided that the three initial states are close enough. Meanwhile, we describe the global wave structure in general cases. Our conclusion extends Lax's result for the one-dimensional Riemann problem of compressible flow to the two-dimensional case for Chaplygin gas. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 类目[WOS] | Mathematics, Applied |
| 研究领域[WOS] | Mathematics |
| 关键词[WOS] | LINEAR HYPERBOLIC SYSTEM ; EQUATIONS ; DYNAMICS |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000305966100034 |
| 公开日期 | 2015-07-14 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/1642]  |
| 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. TWO-DIMENSIONAL RIEMANN PROBLEMS FOR CHAPLYGIN GAS[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2012,44(3):2146-2178. |
| APA | Chen, Shuxing,&Qu, Aifang.(2012).TWO-DIMENSIONAL RIEMANN PROBLEMS FOR CHAPLYGIN GAS.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,44(3),2146-2178. |
| MLA | Chen, Shuxing,et al."TWO-DIMENSIONAL RIEMANN PROBLEMS FOR CHAPLYGIN GAS".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 44.3(2012):2146-2178. |
入库方式： OAI收割
来源：武汉物理与数学研究所
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。