| 无压气体动力学方程组二维Riemann问题的泛函解 |
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| 引用本文： | 彭向阳,胡家信.无压气体动力学方程组二维Riemann问题的泛函解[J].长沙大学学报,1997,11(4):4-14. |
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| 作者姓名： | 彭向阳 胡家信 |
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| 作者单位： | [1]长沙大学 [2]中国科学院物理与数学研究所 |
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| 摘 要： | 本文考虑无压气体动力学方程组二维Ｒｉｅｍａｎｎ问题，构造了分片常初值时的Ｒｉｅｍａｎｎ解，非古典激波出现的某些解中，同时给出了Ｄｉｒａｃ激波的熵条件，包含Ｄｉｒａｃ激波的Ｒｉｅｍａｎｎ解不唯一。
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| 关 键 词： | 气体动力学方程 黎曼问题 泛函解 |
Two-dimensional Riemann problem for Pressureless gas Dynamics Equations with functional Solutions |
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| Peng Xiangyang Hu Jiaxin.Two-dimensional Riemann problem for Pressureless gas Dynamics Equations with functional Solutions[J].Journal of Changsha University,1997,11(4):4-14. |
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| Authors: | Peng Xiangyang Hu Jiaxin |
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| Institution: | Peng Xiangyang Hu Jiaxin |
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| Abstract: | The Riemann problem for a two -diamensional hyperbolic system of pres-sureless gas dynamics equations was considered. Riemann solations were constructed for any piecewise constant initial data having two discontinuity rays with the origin as vertex. Non -classical waves (labelled as Dirac -shoch waves ) appeared in some solutions. The entropy conditions for the Dirac -shock waves were given uniqueness of Riemann solutions contain-ing Dirac -shock waves failed. |
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| Keywords: | Pressureless gas dynamics equations Riemann Paoblem funcbional solu-tions |
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