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

• 来源期刊: 中国科学：数学（英文版）
• 年，卷（期）: 2012,（4）
• 页码范围: 671-685
• 页数: 15页
• 语种: 英文
• DOI: 10.1007/sl1425-012-4393-z

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.