The Riemann problem for a two-dimensional hyperbolic system of conservation laws with non-classical shock waves
文献类型：期刊论文
| 作者 | Hu, JZ |
| 刊名 | ACTA MATHEMATICA SCIENTIA
 |
| 出版日期 | 1998 |
| 卷号 | 18期号:1页码:45-56 |
| 关键词 | Riemann problem two-dimensional hyperbolic system non-classical wave |
| 英文摘要 | The Riemann problem for a two-dimensional 2 x 2 nonstrictly hyperbolic system of nonlinear conservation laws has been solved thoroughly for any given initial data which are constant in each quadrant. The non-classical shockwaves, which are labelled as delta-shock waves, appear in some solutions. The solutions have been obtained are not unique. Due to the specific property of the system considered, there are no rarefaction waves in solution. This paper is divided into three parts. The first part constructs Riemann solutions for initial data involving two contact discontinuities while the second considers the case for other initial data. The last part briefly discusses the non-uniqueness of the solutions. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 类目[WOS] | Mathematics |
| 研究领域[WOS] | Mathematics |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000080165100006 |
| 公开日期 | 2015-12-01 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/8287]  |
| 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 | Acad Sinica, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China |
| 推荐引用方式 GB/T 7714 | Hu, JZ. The Riemann problem for a two-dimensional hyperbolic system of conservation laws with non-classical shock waves[J]. ACTA MATHEMATICA SCIENTIA,1998,18(1):45-56. |
| APA | Hu, JZ.(1998).The Riemann problem for a two-dimensional hyperbolic system of conservation laws with non-classical shock waves.ACTA MATHEMATICA SCIENTIA,18(1),45-56. |
| MLA | Hu, JZ."The Riemann problem for a two-dimensional hyperbolic system of conservation laws with non-classical shock waves".ACTA MATHEMATICA SCIENTIA 18.1(1998):45-56. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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