Global structure of Riemann solutions to a system of two-dimensional hyperbolic conservation laws
文献类型：期刊论文
| 作者 | Shen, Chun1; Sun, Meina1,2; Wang, Zhen2 |
| 刊名 | NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
 |
| 出版日期 | 2011-10-01 |
| 卷号 | 74期号:14页码:4754-4770 |
| 关键词 | Two-dimensional conservation laws Riemann problems Global structure of solutions Generalized characteristic analysis Delta shock wave |
| 产权排序 | 第二 |
| 通讯作者 | 沈春 |
| 英文摘要 | The Riemann problem for a two-dimensional nonstrictly hyperbolic system of conservation laws is considered. Without the restriction that each jump of the initial data projects one planar elementary wave, ten topologically distinct solutions are obtained by applying the method of generalized characteristic analysis. Some of these solutions involve the nonclassical waves, i.e., the delta shock wave and the delta contact discontinuity, for which we explicitly give the expressions of their strengths, locations and propagation speeds. Moreover, we demonstrate that the nature of our solutions is identical with that of solutions to the corresponding one-dimensional Cauchy problem, which provides a verification that our construction produces the correct unique global solutions. (C) 2011 Elsevier Ltd. All rights reserved. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 学科主题 | 数学 |
| 类目[WOS] | Mathematics, Applied ; Mathematics |
| 研究领域[WOS] | Mathematics |
| 关键词[WOS] | DELTA-SHOCK-WAVES ; CONSTRUCTION |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000291243700014 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/1744]  |
| 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.Ludong Univ, Sch Math & Informat, Yantai 264025, 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 | Shen, Chun,Sun, Meina,Wang, Zhen. Global structure of Riemann solutions to a system of two-dimensional hyperbolic conservation laws[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2011,74(14):4754-4770. |
| APA | Shen, Chun,Sun, Meina,&Wang, Zhen.(2011).Global structure of Riemann solutions to a system of two-dimensional hyperbolic conservation laws.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,74(14),4754-4770. |
| MLA | Shen, Chun,et al."Global structure of Riemann solutions to a system of two-dimensional hyperbolic conservation laws".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 74.14(2011):4754-4770. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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