THE RIEMANN PROBLEM WITH DELTA INITIAL DATA FOR THE ONE-DIMENSIONAL CHAPLYGIN GAS EQUATIONS
文献类型：期刊论文
| 作者 | Wang Zhen1; Zhang Qingling1,2 |
| 刊名 | ACTA MATHEMATICA SCIENTIA
 |
| 出版日期 | 2012-05-01 |
| 卷号 | 32期号:3页码:825-841 |
| 关键词 | Chaplygin gas equations Riemann problem delta-shocks generalized Rankine-Hugoniot conditions generalized solutions |
| 英文摘要 | In this article, we study the Riemann problem with delta initial data for the one-dimensional Chaplygin gas equations. Under the generalized Rankine-Hugoniot conditions and the entropy condition, we constructively obtain the global existence of generalized solutions that explicitly exhibit four kinds of different structures. Moreover, we obtain the stability of generalized solutions by making use of the perturbation of the initial data. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 类目[WOS] | Mathematics |
| 研究领域[WOS] | Mathematics |
| 关键词[WOS] | CONSERVATION-LAWS ; HYPERBOLIC SYSTEMS ; SHOCK WAVES ; DYNAMICS |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000304572800001 |
| 公开日期 | 2015-07-14 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/1679]  |
| 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.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China 2.Jianghan Univ, Sch Math & Comp Sci, Wuhan 430056, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wang Zhen,Zhang Qingling. THE RIEMANN PROBLEM WITH DELTA INITIAL DATA FOR THE ONE-DIMENSIONAL CHAPLYGIN GAS EQUATIONS[J]. ACTA MATHEMATICA SCIENTIA,2012,32(3):825-841. |
| APA | Wang Zhen,&Zhang Qingling.(2012).THE RIEMANN PROBLEM WITH DELTA INITIAL DATA FOR THE ONE-DIMENSIONAL CHAPLYGIN GAS EQUATIONS.ACTA MATHEMATICA SCIENTIA,32(3),825-841. |
| MLA | Wang Zhen,et al."THE RIEMANN PROBLEM WITH DELTA INITIAL DATA FOR THE ONE-DIMENSIONAL CHAPLYGIN GAS EQUATIONS".ACTA MATHEMATICA SCIENTIA 32.3(2012):825-841. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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