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Paper detail

Stability analysis for combustion fronts traveling in hydraulically resistant porous media

We study front solutions of a system that models combustion in highly hydraulically resistant porous media. The spectral stability of the fronts is tackled by a combination of energy estimates and numerical Evans function computations. Our results suggest that there is a parameter regime for which there are no unstable eigenvalues. We use recent works about partially parabolic systems to prove that in the absence of unstable eigenvalues the fronts are convectively stable.

preprint2014arXivOpen access
Anna GhazaryanStephane LafortunePeter McLarnan
math.APnlin.PS
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Anna GhazaryanStephane LafortunePeter McLarnan

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