Theory of systems of nonlinear hyperbolic conservation laws; Applications of the above to combustion theory, in particular, detonation waves. Most steady plane detonation waves are unstable. For certain parameter values, the instability is one that causes the steady detonation wave to oscillate. This is a plot of a numerical calculation of a pulsating detonation wave. The calculation was performed using the Sanders-Weiser staggered grid scheme for hyperbolic systems in one space dimension. Depicted are: 1. The spatial plot of the gas momentum, after 6032 time steps. 2. The time history of the shock pressure.
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