Non-selfsimilar solutions for a hyperbolic system of conservation laws in two space dimensions
文献类型：期刊论文
| 作者 | Sun, Meina1,2 |
| 刊名 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
 |
| 出版日期 | 2012-11-01 |
| 卷号 | 395期号:1页码:86-102 |
| 关键词 | Hyperbolic conservation law Global structure of solutions Non-selfsimilar Delta shock wave |
| 英文摘要 | The non-selfsimilar Riemann problem for a two-dimensional nonstrictly hyperbolic system of conservation laws is considered, where the initial data are two constant states separated by a smooth curve. Without dimension reduction or coordinate transformation, the two-dimensional global solutions are constructed for six cases according to the normal velocities on both sides of the initial discontinuity. Moreover, the interactions of non-selfsimilar elementary waves are discussed by respectively taking the initial discontinuity as a parabola and a circle which enable us to provide the global structures of the entropy solutions explicitly. (C) 2012 Elsevier Inc. All rights reserved. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 类目[WOS] | Mathematics, Applied ; Mathematics |
| 研究领域[WOS] | Mathematics |
| 关键词[WOS] | VANISHING PRESSURE LIMIT ; 2-DIMENSIONAL RIEMANN PROBLEM ; DELTA SHOCK-WAVES ; EULER EQUATIONS ; VACUUM STATES ; TRANSPORT ; FLUIDS |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000306298100009 |
| 公开日期 | 2015-07-14 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/1665]  |
| 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.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 | Sun, Meina. Non-selfsimilar solutions for a hyperbolic system of conservation laws in two space dimensions[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2012,395(1):86-102. |
| APA | Sun, Meina.(2012).Non-selfsimilar solutions for a hyperbolic system of conservation laws in two space dimensions.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,395(1),86-102. |
| MLA | Sun, Meina."Non-selfsimilar solutions for a hyperbolic system of conservation laws in two space dimensions".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 395.1(2012):86-102. |
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。