THE RIEMANN PROBLEM FOR THE NONLINEAR DEGENERATE WAVE EQUATIONS
文献类型：期刊论文
| 作者 | Liu Xiaomin1,2; Wang Zhen1 |
| 刊名 | ACTA MATHEMATICA SCIENTIA
 |
| 出版日期 | 2011-11-01 |
| 卷号 | 31期号:6页码:2313-2322 |
| 关键词 | degenerate wave equations Riemann problems not strictly hyperbolic Liuentropy condition |
| 产权排序 | 第一 |
| 英文摘要 | In this paper we consider the Riemann problem for the nonlinear degenerate wave equations. This problem has been studied by Sun and Sheng, however the so-called degenerate shock solutions did not satisfy the R-H condition. In the present paper, the Riemann solutions of twelve regions in the v - u plane are completely constructed by the Liu-entropy condition. Our Riemann solutions are very different to that one obtained by Sun and Sheng in some regions. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 学科主题 | 数学 |
| 类目[WOS] | Mathematics |
| 研究领域[WOS] | Mathematics |
| 关键词[WOS] | CONSERVATION LAWS |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000297610800019 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/1928]  |
| 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.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China 2.Chinese Acad Sci, Grad Sch, Beijing 100039, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liu Xiaomin,Wang Zhen. THE RIEMANN PROBLEM FOR THE NONLINEAR DEGENERATE WAVE EQUATIONS[J]. ACTA MATHEMATICA SCIENTIA,2011,31(6):2313-2322. |
| APA | Liu Xiaomin,&Wang Zhen.(2011).THE RIEMANN PROBLEM FOR THE NONLINEAR DEGENERATE WAVE EQUATIONS.ACTA MATHEMATICA SCIENTIA,31(6),2313-2322. |
| MLA | Liu Xiaomin,et al."THE RIEMANN PROBLEM FOR THE NONLINEAR DEGENERATE WAVE EQUATIONS".ACTA MATHEMATICA SCIENTIA 31.6(2011):2313-2322. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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