Riemann problems for a class of coupled hyperbolic systems of conservation laws
文献类型：期刊论文
| 作者 | Yang, HC |
| 刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 1999-12-10 |
| 卷号 | 159期号:2页码:447-484 |
| 关键词 | coupled hyperbolic system delta-shock waves generalized Rankine-Hugoniot relation entropy condition measure solution |
| ISSN号 | 0022-0396 |
| 英文摘要 | We study a class of coupled hyperbolic systems of conservation laws which contain the one-dimensional zero-pressure gas dynamics as a prototypical example. The Riemann problems are solved constructively. The Riemann solutions exactly include two kinds: delta-shock wave solutions and vacuum solutions. Under the generalized Rankine-Hugoniot relation and entropy condition, all of the existence, uniqueness, and stability of solutions to viscous perturbations are proved. Two typical examples are presented finally. (C) 1999 Academic Press. |
| 语种 | 英语 |
| WOS记录号 | WOS:000084514000006 |
| 出版者 | ACADEMIC PRESS INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/14540]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Yang, HC |
| 作者单位 | 1.Yunnan Univ, Dept Math, Kunming 650091, Peoples R China 2.Acad Sinica, Inst Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yang, HC. Riemann problems for a class of coupled hyperbolic systems of conservation laws[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,1999,159(2):447-484. |
| APA | Yang, HC.(1999).Riemann problems for a class of coupled hyperbolic systems of conservation laws.JOURNAL OF DIFFERENTIAL EQUATIONS,159(2),447-484. |
| MLA | Yang, HC."Riemann problems for a class of coupled hyperbolic systems of conservation laws".JOURNAL OF DIFFERENTIAL EQUATIONS 159.2(1999):447-484. |
入库方式： OAI收割
来源：数学与系统科学研究院
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