A cartoon for the climbing ramp problem of a shock and von Neumann paradox
文献类型：期刊论文
| 作者 | Sheng, Wancheng; Zhang, Tong |
| 刊名 | ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
 |
| 出版日期 | 2007-05-01 |
| 卷号 | 184期号:2页码:243-255 |
| ISSN号 | 0003-9527 |
| DOI | 10.1007/s00205-006-0024-6 |
| 英文摘要 | The climbing ramp problem of a shock for two-dimensional scalar conservation laws is considered. By use of the generalized characteristic analysis method, we prove constructively that there are only three configurations of solutions: regular reflection-like, Mach reflection-like and von Neumann reflection-like for a kind of flux function of the conservation laws and some initial data. The criteria for these three configurations are obtained. Furthermore, a necessary condition for the appearance of regular reflection in gas dynamics is presented. |
| WOS研究方向 | Mathematics ; Mechanics |
| 语种 | 英语 |
| WOS记录号 | WOS:000245123900002 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/5152]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Sheng, Wancheng |
| 作者单位 | 1.Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China 2.Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Sheng, Wancheng,Zhang, Tong. A cartoon for the climbing ramp problem of a shock and von Neumann paradox[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,2007,184(2):243-255. |
| APA | Sheng, Wancheng,&Zhang, Tong.(2007).A cartoon for the climbing ramp problem of a shock and von Neumann paradox.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,184(2),243-255. |
| MLA | Sheng, Wancheng,et al."A cartoon for the climbing ramp problem of a shock and von Neumann paradox".ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 184.2(2007):243-255. |
入库方式： OAI收割
来源：数学与系统科学研究院
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