| 耗散等熵气体动力学方程组广义Riemann问题 |
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| 引用本文： | 刘法贵,闫杰生. 耗散等熵气体动力学方程组广义Riemann问题[J]. 数学季刊, 2009, 24(2): 185-193 |
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| 作者姓名： | 刘法贵 闫杰生 |
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| 作者单位： | |
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| 基金项目： | the NSF of Educational Department of Henan Province，the NSF of Henan Province，the NSF of China |
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| 摘 要： |
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| 关 键 词： | Riemann问题 耗散项 广义 熵流 稀疏波 中心波 相似 |
Generalized Riemann Problem for Isentropic Flow with Dissipative Term |
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| LIU Fa-gui YAN Jie-sheng. Generalized Riemann Problem for Isentropic Flow with Dissipative Term[J]. Chinese Quarterly Journal of Mathematics, 2009, 24(2): 185-193 |
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| Authors: | LIU Fa-gui YAN Jie-sheng |
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| Affiliation: | [1]Department of Mathematics, North China Institute of Water Conservancy and Hydroelectric Power,Zhengzhou 450008, China [2]Department of Computer, Shangqiu Vocational and Technical College,Shangqiu 476100, China |
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| Abstract: | The paper concerns with generalized Riemann problem for isentropic flow with dissipation, and show that if the similarity solution to Riemann problem is composed of a backward centered rarefaction wave and a forward centered rarefaction wave, then general-ized Riemann problem admits a unique global solution on t ≥ 0. This solution is composed of backward centered wave and a forward centered wave with the origin as their center and then continuous for t>0. |
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| Keywords: | generalized Riemann problem centered rarefaction wave isentropic flow sipation |
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