| 绝热指数为1的一维非等熵流气体动力学方程组Cauchy问题 |
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| 引用本文： | 刘法贵. 绝热指数为1的一维非等熵流气体动力学方程组Cauchy问题[J]. 华北水利水电学院学报, 1997, 18(1): 67-71 |
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| 作者姓名： | 刘法贵 |
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| 摘 要： | 考虑绝热指数为１的一维非等熵流气体动力学方程组ｕｔ＋ｐ（ｖ，ｓ）ｘ＝０ｖｔ－ｕｘ＝０ｓｔ＝０在熵的振幅“小性”条件下，证明了其以Ｃａｕｃｈｙ问题光滑解的整体存在性定理。
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| 关 键 词： | 绝热指数 一维非等熵流气体动力学方程组 整体光滑解 Cauchy问题 |
Cauchy Problem for One-dimensional Gas Dynamics Systems With the Adiabatic Exponent 1 |
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| Lui Fagui. Cauchy Problem for One-dimensional Gas Dynamics Systems With the Adiabatic Exponent 1[J]. Journal of North China Institute of Water Conservancy and Hydroelectric Power, 1997, 18(1): 67-71 |
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| Authors: | Lui Fagui |
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| Abstract: | It was discussed that Cauchy problem for one-dimensional gas dynamics systems with the adiabatic exponent 1 u t+p(v,s) x=0 v t-u x=0 s t=0and prove the existence theorems of smooth solutions to its Cauchy problem,if the amplitade of entropy s 0(x) is mall. |
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| Keywords: | Adiabatic exponent One-dimensonal gas dynamics Global smooth solution Cauchy problem |
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