Special Session 51: 

Uniqueness for shock reflection problem

wei xiang
city university of hong kong
Hong Kong
Co-Author(s):    Gui-Qiang Chen and Mikhail Feldman
Abstract:
We discuss the uniqueness of shock reflection problem governed by the potential flow equation in a natural class of self-similar solutions. The approach is based on a version of method of continuity. A property of solutions important for the proof of uniqueness is the convexity of the free boundary. So we will also discuss our recent result on the convexity. This talk is based on joint work with G.-Q. Chen and Mikhail Feldman.