| The Non-selfsimilar Riemann Problem for 2-D Zero-Pressure Flow in Gas Dynamics |
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| 引用本文： | Wenhua SUN~* Wancheng SHENG~(**) *School of Mathematics and Information Sciences,Shandong University of Technology,Zibo 255049,Shandong,China. **Department of Mathematics,Shanghai University,Shanghai 200444,China.. The Non-selfsimilar Riemann Problem for 2-D Zero-Pressure Flow in Gas Dynamics[J]. 数学年刊B辑(英文版), 2007, 28(6): 701-708. DOI: 10.1007/s11401-006-0224-2 |
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| 作者姓名： | Wenhua SUN~* Wancheng SHENG~(**) *School of Mathematics and Information Sciences Shandong University of Technology Zibo 255049 Shandong China. **Department of Mathematics Shanghai University Shanghai 200444 China. |
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| 作者单位： | Wenhua SUN（School of Mathematics and Information Sciences, Shandong University of Technology, Zibo 255049, Shandong, China） ;Wancheng SHENG（Department of Mathematics, Shanghai University, Shanghai 200444, China） ; |
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| 摘 要： | The non-selfsimilar Riemann problem for two-dimensional zero-pressure flow in gas dynamics with two constant states separated by a convex curve is considered.By means of the generalized Rankine-Hugoniot relation and the generalized characteristic analysis method,the global solution involving delta shock wave and vacuum is constructed.The explicit solution for a special case is also given.
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| 关 键 词： | 黎曼 气体动力学 熵条件 三角形 |
| 收稿时间： | 2006-05-26 |
The Non-selfsimilar Riemann Problem for 2-D Zero-Pressure Flow in Gas Dynamics* |
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| Wenhua Sun,Wancheng Sheng. The Non-selfsimilar Riemann Problem for 2-D Zero-Pressure Flow in Gas Dynamics*[J]. Chinese Annals of Mathematics,Series B, 2007, 28(6): 701-708. DOI: 10.1007/s11401-006-0224-2 |
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| Authors: | Wenhua Sun Wancheng Sheng |
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| Affiliation: | 1. School of Mathematics and Information Sciences, Shandong University of Technology, Zibo 255049, Shandong, China
2. Department of Mathematics, Shanghai University, Shanghai 200444, China |
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| Abstract: | The non-selfsimilar Riemann problem for two-dimensional zero-pressure flow in gas dynamics with two constant states separated by a convex curve is considered.By means of the generalized Rankine-Hugoniot relation and the generalized characteristic analysis method,the global solution involving delta shock wave and vacuum is constructed.The explicit solution for a special case is also given. |
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| Keywords: | Zero-pressure flow Non-selfsimilar Riemann problem GeneralizedRankine-Hugoniot relation Entropy condition Delta shock |
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