We will discuss shock reflection phenomena, mathematical formulation of shock reflection problem, structures of shock reflection configurations, and von Neumann conjectures on transition between regular and Mach reflections. Then we will describe the results on existence and properties of regular reflection solutions for potential flow equation. The approach is to reduce the shock reflection problem to a free boundary problem for a nonlinear elliptic equation in self-similar coordinates, where the reflected shock is the free boundary, and ellipticity degenerates near a part of a fixed boundary. We will discuss the techniques and methods used in the study of such free boundary problems.
Further Information
Sessions will be as follows:
Tuesday 7th, 2:00pm-4:00pm
Wednesday 8th, 2:00pm-3:30pm