| 气体动力学压力梯度方程组的广义黎曼问题 |
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| 引用本文： | 邱春,岳武军,杨汉春.气体动力学压力梯度方程组的广义黎曼问题[J].昆明师范高等专科学校学报,2008,30(4):8-12,18. |
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| 作者姓名： | 邱春 岳武军 杨汉春 |
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| 作者单位： | 云南大学数学与统计学院 |
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| 摘 要： | 研究气体动力学一维压力梯度方程组的一类广义黎曼问题，证明了分别包含两个中心波和两个激波的整体解的存在唯一性，并给出包含一个中心波与一个激波的整体间断解不存在的判定条件．
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| 关 键 词： | 压力梯度方程组 广义黎曼问题 中心波 激波 |
Generalized Riemann Problem of Pressure-gradient Equations in Gas Dynamics |
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| QIU Chun,YUE Wu-jun,YANG Han-chun.Generalized Riemann Problem of Pressure-gradient Equations in Gas Dynamics[J].Journal of Kunming Teachers College,2008,30(4):8-12,18. |
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| Authors: | QIU Chun YUE Wu-jun YANG Han-chun |
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| Institution: | ( School of Mathematics and Statistics, Yunnan University, Yunnan Kunming 650091, China) |
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| Abstract: | The generalized Riemann problem for one-dimensional pressure-gradient equations in gas dynamics is studied.The existence and uniqueness of global solutions containing two center waves and two shocks respectively is proved,and a nonexistence condition for the global discontinuous solution containing one center wave and one shock is given. |
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| Keywords: | pressure-gradient equations generalized riemann problem center waves shocks |
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