定常零压等熵流的三片常数的黎曼问题(英文)  

The Riemann Problem with Three Constants for Steady Zero-pressure Isentropic Flown

作　　者：谷应丽[1] 童艳春[1] 杨汉春[1] 

机构地区：[1]云南大学数学系,云南昆明650091

出　　处：《昆明师范高等专科学校学报》2007年第4期10-15,25,共7页Journal of Kunming Teachers College

基　　金：国家自然科学基金资助项目(10461010)

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Rankine-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.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.

关 键 词：定常零压等熵流 狄拉克激波 广义Rankine-Hugoniot条件 熵条件 

分 类 号：O175.29[理学—数学]