Monthly Archives: January 2016

Study of a model equation in detonation theory

We analyze properties of a nonlocal hyperbolic balance law equation that we previously proposed to model the dynamics of unstable detonation waves. We show that much of the complexity present in one-dimensional detonations can be captured by a properly forced Burgers’ equation. Furthermore we employ a combination of numerical and analytical tools to investigate the […]

Model for shock wave chaos

We propose a simple model equation that predicts chaotic shock waves, similar to those in detonations in chemically reacting mixtures. The equation is given on the half line, with the shock located at x=0.  This equation retains the essential physics needed to reproduce many properties of detonations in gaseous reactive mixtures: […]