This volume is concerned with the understanding and modeling of combustion in high speed flows. The exploration of a dual approach combining asymptotic and numerical methods for the analysis of the models is particularly emphasized. The models reflect the basic physical phenomena in SCRAMJETs and oblique detonation-wave engines (ODWE). This collection of papers from leading researchers presents an overview of the state-of-the-art of current research and will be a valuable tool for scientists and students working in the area of combustion in high speed propulsion.