Interaction of waves in two-dimensional steady isentropic flow

The Euler equations for two-dimensional, steady, isentropic, and inviscid flow are considered. All the elementary waves are classified into incoming and outgoing waves under the assumption that there is a singular point in the configuration of the solution. The interactions of at most two incoming waves are dealt with in this paper, and all six kinds of configurations for the solutions are obtained. They are the Mach reflection (one kind), the shock wave S transmits contact discontinuity J(two kinds), the overtaking of two incoming shock waves (two kinds), and the collision of two incoming shock waves (one kind).