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绝热指数为1的一维非等熵流气体动力学方程组Cauchy问题
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.
作者姓名:刘法贵
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。

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
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.
Authors:Lui Fagui
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=0and prove the existence theorems of smooth solutions to its Cauchy problem,if the amplitade of entropy s 0(x) is mall.
Keywords:Adiabatic exponent  One-dimensonal gas dynamics  Global smooth solution  Cauchy problem  
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