本刊英文版2012年55卷第4期摘要  

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

出　　处：《中国科学：数学》2012年第4期I0001-I0006,共6页Scientia Sinica：Mathematica

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)

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.Abstract 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 respec- tively, 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. Keywords Riemann boundary value problem, reflection of shock, Chaplygin gas, wave interaction, Euler system

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分 类 号：Z89[文化科学]