Katarina Jedgic
University of Houston

Transonic Regular Reflection for the Nonlinear Wave System

Abstract: We study a Riemann problem for the two-dimensional nonlinear wave system which leads to a transonic regular reflection. We write the system in self-similar coordinates and obtain a free boundary value problem. A solution is found in a neighborhood of the reflection point using the fixed point theory and Holder estimates for the second order elliptic problems.