Riemann boundary value problems and reflection of shock for the Chaplygin gas

被引：13
作者：
Chen ShuXing [1 ]
Qu AiFang [2 ]
机构：
[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
[2] Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China
来源：
SCIENCE CHINA-MATHEMATICS | 2012年 / 55卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Riemann boundary value problem; reflection of shock; Chaplygin gas; wave interaction; Euler system; HYPERBOLIC SYSTEMS;
D O I：
10.1007/s11425-012-4393-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study two-dimensional Riemann boundary value problems of Euler system for the isentropic and irrotational Chaplygin gas with initial data being two constant states given in two sectors respectively, where one sector is a quadrant and the other one has an acute vertex angle. We prove that the Riemann boundary value problem admits a global self-similar solution, if either the initial states are close, or the smaller sector is also near a quadrant. Our result can be applied to solving the problem of shock reflection by a ramp.
引用
收藏
页码：671 / 685
页数：15
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