Configurations of Shock Regular Reflection by Straight Wedges

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.