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| We use a very simplified model in which air enters a porous media and burns part of the medium. Analysis indicates the existence of combustion waves. Numerical experiments show that some of them are stable, some are not. Oscillating reactions also occur.
Some of these phenomena have been studied before in more realistic models that do not easily allow rigorous analysis. This is not the case for the current model, which is very simple despite considering oxygen, fuel and temperature as possible controlling quantities for the reactions.
The phenomena are illustrated by a number of computer simulations; we hope to entice someone in the audience to further rigorous analysis. |
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