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定常零压等熵流的三片常数的黎曼问题
引用本文:谷应丽,童艳春,杨汉春.定常零压等熵流的三片常数的黎曼问题[J].昆明师范高等专科学校学报,2007,29(4):10-15,25.
作者姓名:谷应丽  童艳春  杨汉春
作者单位:云南大学数学系,云南昆明650091
摘    要:研究二维定常零压等熵流带有三个常状态作为初值的黎曼问题.借助于特征分析方法,在适当的广义Ranine-Hugoniot条件和熵条件下,得到狄拉克激波与真空、接触间断之间相互作用的结果,建立了四种不同的唯一的黎曼解结构。

关 键 词:定常零压等熵流  狄拉克激波  广义Rankine-Hugoniot条件  熵条件
文章编号:1008-7958(2007)04-0010-06
收稿时间:2007-12-14
修稿时间:2007年12月14

The Riemann Problem with Three Constants for Steady Zero-pressure Isentropic Flown
GU Ying-li,TONG Yan-chun,YANG Han-chun.The Riemann Problem with Three Constants for Steady Zero-pressure Isentropic Flown[J].Journal of Kunming Teachers College,2007,29(4):10-15,25.
Authors:GU Ying-li  TONG Yan-chun  YANG Han-chun
Abstract:This paper studies the Riemann problem for two-dimensional steady zero-pressure isentropic flow with three constant states as initial data. With the help of characteristic analysis, under suitable generalized Rankine-Hugoniot relation and entropy condition, four different structures of Riemann solutions are established uniquely, in which the interactions among delta shock wave, vacuum and contact discontinuity are clarified.
Keywords:Steady zero-pressure isentropic flow  delta shock wave  generalized Rankine-Hugoniot relation  entropy condition
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