等熵Chaplygin气体动力学系统三片常数的黎曼问题  

Riemann Problem with Three Constant Initial States for Isentropic Chaplygin Gas Dynamic System

作　　者：周同[1] 杜珍珍[1] 杨汉春[2] ZHOU Tong;DU Zhenzhen;YANG Hanchun(Basic Teaching Department,Tongling Polytechnic,Tongling 244000,China;School of Mathematics and Statistics,Yunnan University,Kunming 650091,China)

机构地区：[1]铜陵职业技术学院基础教学部,安徽铜陵244000 [2]云南大学数学与统计学院,云南昆明650091

出　　处：《安庆师范大学学报（自然科学版）》2018年第2期40-44,51,共6页Journal of Anqing Normal University(Natural Science Edition)

摘　　要：本文研究等熵Chaplygin气体动力学方程组带有三片常数的黎曼问题。借助特征分析方法,在适当的广义Rankine-Hugoniot条件和熵条件下,得到狄拉克激波之间以及狄拉克激波与接触间断之间相互作用的结果,建立了5种不同的唯一的黎曼解结构。This paper studies the Riemann problem of one-dimensional Chaplygin gas dynamics with three constant states as initial data. With the help of characteristic analysis, under suitable generalized Rankine-Hugoniot relation and entropy condition, five different structures of Riemann solutions are established uniquely, in which the interactions among delta shock wave and contact discontinuity are presented.

关 键 词：等熵Chaplygin气体动力学系统 黎曼问题 广义Rankine-Hugoniot条件 熵条件 狄拉克激波(δ-激波) 

分 类 号：O175.29[理学—数学]