The Riemann problem for the transportation equations in gas dynamics
文献类型：期刊论文
| 作者 | Sheng, WC; Zhang, T |
| 刊名 | MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY
 |
| 出版日期 | 1999 |
| 卷号 | 137期号:654页码:1-+ |
| 关键词 | 1-D and 2-D Riemann problems Euler equations transportation equations gas dynamics Dirac delta wave Slip line vacuum viscous vanishing |
| ISSN号 | 0065-9266 |
| 英文摘要 | The one-dimensional and two-dimensional Riemann problems for the transportation equations in gas dynamics have been solved constructively. In either 1-D or 2-D case, there are only two kinds of solutions, the one involves Dirac delta waves, and the other involves vacuums which has merely discussed so far. The generalized Rankine-Hugoniot and entropy conditions for Dirac delta waves have been clarified with viscous vanishing method. All of the existence, uniqueness and stability for viscous perturbations have been proved analytically. The system of equations is a coupled one instead of the decoupled ones discussed before in 1-D case involving Dirac delta waves. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000078258000001 |
| 出版者 | AMER MATHEMATICAL SOC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/14816]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Sheng, WC |
| 作者单位 | 1.Xinjiang Univ, Inst Math & Phys, Dept Math, Urumqi 830046, Peoples R China 2.Acad Sinica, Inst Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Sheng, WC,Zhang, T. The Riemann problem for the transportation equations in gas dynamics[J]. MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY,1999,137(654):1-+. |
| APA | Sheng, WC,&Zhang, T.(1999).The Riemann problem for the transportation equations in gas dynamics.MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY,137(654),1-+. |
| MLA | Sheng, WC,et al."The Riemann problem for the transportation equations in gas dynamics".MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY 137.654(1999):1-+. |
入库方式： OAI收割
来源：数学与系统科学研究院
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