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耗散等熵气体动力学方程组广义Riemann问题(英文)

Generalized Riemann Problem for Isentropic Flow with Dissipative Term

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【Author】 LIU Fa-gui1, YAN Jie-sheng2 (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)

【机构】 Department of Mathematics,North China Institute of Water Conservancy and Hydroelectric Power； Department of Computer,Shangqiu Vocational and Technical College；

【摘要】 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.更多还原

【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.更多还原

【关键词】 generalized Riemann problem； centered rarefaction wave； isentropic flow； dissipation；
【Key words】 generalized Riemann problem； centered rarefaction wave； isentropic flow； dissipation；

【基金】 Supported by the NSF of Educational Department of Henan Province(200511051700);Supported by the NSF of Henan Province(200510078005);Supported by the NSF of China(10571024)

【文献出处】数学季刊 ,Chinese Quarterly Journal of Mathematics , 编辑部邮箱 ,2009年02期

【分类号】O35
【下载频次】31

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