Delta-shocks as limits of vanishing viscosity for multidimensional zero-pressure gas dynamics
文献类型：期刊论文
| 作者 | Li, JQ; Yang, HC |
| 刊名 | QUARTERLY OF APPLIED MATHEMATICS
 |
| 出版日期 | 2001-06-01 |
| 卷号 | 59期号:2页码:315-342 |
| 关键词 | multidimensional zero-pressure gas dynamics delta-shock vacuum Riemann problem stability viscosity vanishing |
| ISSN号 | 0033-569X |
| 英文摘要 | In this paper we study zero-pressure gas dynamics, which is a nonstrict hyperbolic system of nonlinear conservation laws with delta-shock waves in solutions. By using the generalized Rankine-Hugoniot relations to solve the Riemann problem with two pieces of constant initial data, multidimensional planar delta-shock waves dependent upon a family of one parameter are obtained. Furthermore! we choose a unique entropy solution through the process of a viscosity vanishing, and obtain a stability for delta shocks in multidimensions. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000168508500005 |
| 出版者 | AMER MATHEMATICAL SOC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/16364]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Li, JQ |
| 作者单位 | 1.Acad Sinica, Inst Math, Beijing 100080, Peoples R China 2.Yunnan Univ, Dept Math, Kunming 650091, Peoples R China 3.Acad Sinica, Inst Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, JQ,Yang, HC. Delta-shocks as limits of vanishing viscosity for multidimensional zero-pressure gas dynamics[J]. QUARTERLY OF APPLIED MATHEMATICS,2001,59(2):315-342. |
| APA | Li, JQ,&Yang, HC.(2001).Delta-shocks as limits of vanishing viscosity for multidimensional zero-pressure gas dynamics.QUARTERLY OF APPLIED MATHEMATICS,59(2),315-342. |
| MLA | Li, JQ,et al."Delta-shocks as limits of vanishing viscosity for multidimensional zero-pressure gas dynamics".QUARTERLY OF APPLIED MATHEMATICS 59.2(2001):315-342. |
入库方式： OAI收割
来源：数学与系统科学研究院
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