Stability analysis for combustion fronts traveling in hydraulically resistant porous media

2014/11/11 by Anna Ghazaryan, Ghazaryan, Anna, Stephane Lafortune +3
Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Pattern Formation and Solitons (nlin.PS) #math.AP #nlin.PS

paper · pdf · doi:10.48550/arxiv.1411.2929

21 pages, 4 figures

arxiv created 2014/11/11 · arxiv updated 2014/11/12

Abstract

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.

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