Model for shock wave chaos.

  title={Model for shock wave chaos.},
  author={Aslan R. Kasimov and Luiz M. Faria and Rodolfo Ruben Rosales},
  journal={Physical review letters},
  volume={110 10},
We propose the following model equation, u(t) + 1/2(u(2)-uu(s))x = f(x,u(s)) that predicts chaotic shock waves, similar to those in detonations in chemically reacting mixtures. The equation is given on the half line, x<0, and the shock is located at x = 0 for any t ≥ 0. Here, u(s)(t) is the shock state and the source term f is taken to mimic the chemical energy release in detonations. This equation retains the essential physics needed to reproduce many properties of detonations in gaseous… Expand

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