EVOLUTION OF DISCONTINUITY AND FORMATION OF TRIPLE-SHOCK PATTERN IN SOLUTIONS TO A TWO-DIMENSIONAL HYPERBOLIC SYSTEM OF CONSERVATION LAWS
文献类型：期刊论文
| 作者 | Chen, Gui-Qiang1; Wang, Dehua2; Yang, Xiaozhou3 |
| 刊名 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS
 |
| 出版日期 | 2009 |
| 卷号 | 41期号:1页码:1-25 |
| 关键词 | two-dimensional conservation laws global structure of solutions evolution of iscontinuity characteristic planes envelope formation of triple-shock pattern |
| 通讯作者 | Chen, GQ (reprint author), Northwestern Univ, Dept Math, Evanston, IL 60208 USA. |
| 英文摘要 | The evolution of discontinuity and formation of triple-shock pattern in solutions to a two-dimensional hyperbolic system of conservation laws are studied. When the initial discontinuity is a convex curve, it is discovered that the structure of the global solution changes dramatically around a critical time: After the critical time, a triple-shock pattern forms, while, before the critical time, only two shocks are developed. The envelope surface of intersections and the evolution of discontinuity are analyzed by developing new ideas and approaches. The global structure of the entropy solution is presented. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 类目[WOS] | Mathematics, Applied |
| 研究领域[WOS] | Mathematics |
| 关键词[WOS] | RIEMANN PROBLEM |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000266019600001 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/2304]  |
| 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.Northwestern Univ, Dept Math, Evanston, IL 60208 USA 2.Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USA 3.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, Gui-Qiang,Wang, Dehua,Yang, Xiaozhou. EVOLUTION OF DISCONTINUITY AND FORMATION OF TRIPLE-SHOCK PATTERN IN SOLUTIONS TO A TWO-DIMENSIONAL HYPERBOLIC SYSTEM OF CONSERVATION LAWS[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2009,41(1):1-25. |
| APA | Chen, Gui-Qiang,Wang, Dehua,&Yang, Xiaozhou.(2009).EVOLUTION OF DISCONTINUITY AND FORMATION OF TRIPLE-SHOCK PATTERN IN SOLUTIONS TO A TWO-DIMENSIONAL HYPERBOLIC SYSTEM OF CONSERVATION LAWS.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,41(1),1-25. |
| MLA | Chen, Gui-Qiang,et al."EVOLUTION OF DISCONTINUITY AND FORMATION OF TRIPLE-SHOCK PATTERN IN SOLUTIONS TO A TWO-DIMENSIONAL HYPERBOLIC SYSTEM OF CONSERVATION LAWS".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 41.1(2009):1-25. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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