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

作     者：CHEN ShuXing 1,& QU AiFang 2 1 School of Mathematical Sciences,Fudan University,Shanghai 200433,China 2 Wuhan Institute of Physics and Mathematics,Chinese Academy of Sciences,Wuhan 430071,China 

作者机构：1. School of Mathematical Sciences Fudan University Shanghai 200433 China2. Wuhan Institute of Physics and Mathematics Chinese Academy of Sciences Wuhan 430071 China 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2012年第55卷第4期

页      面：671-685页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported in part by National Natural Science Foundation of China(Grant No. 11031001) the Doctorial Foundation of National Educational Ministry (Grant No. 20090071110002) Tianyuan Fund of Mathematics (Grant No. 11126181) 

主　　题：Riemann boundary value problem reflection of shock Chaplygin gas wave interaction Eulersystem 

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 *** 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 *** result can be applied to solving the problem of shock reflection by a ramp.