Configurations of Shock Regular Reflection by Straight Wedges  

作　　者：Qin Wang Junhe Zhou 

机构地区：[1]Department of Mathematics and Statistics,Yunnan University,Kunming 650091,Yunnan,China

出　　处：《Communications on Applied Mathematics and Computation》2023年第3期1256-1273,共18页应用数学与计算数学学报（英文）

基　　金：supported by the National Natural Science Foundation of China(Grant no.11761077);the NSF of Yunnan province of China(2019FY003007);the Program for Innovative Research Team in Universities of Yunnan Province of China.

摘　　要：We are concerned with the shock regular reflection configurations of unsteady global solutions for a plane shock hitting a symmetric straight wedge.It has been known that patterns of the shock reflection are various and complicated,including the regular and the Mach reflection.Most of the fundamental issues for the shock reflection have not been understood.Recently,there are great progress on the mathematical theory of the shock regular reflection problem,especially for the global existence,uniqueness,and structural stability of solutions.In this paper,we show that there are two more possible configurations of the shock regular reflection besides known four configurations.We also give a brief proof of the global existence of solutions.

关 键 词：Shock regular reflection Transonic shock Prandtl-Meyer reflection Degenerate elliptic equation Two-dimensional Euler equations 

分 类 号：O175[理学—数学]