Stability analysis for combustion fronts traveling in hydraulically resistant porous media
Pattern Formation and Solitons
2014-11-12 v1 Analysis of PDEs
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.
Keywords
Cite
@article{arxiv.1411.2929,
title = {Stability analysis for combustion fronts traveling in hydraulically resistant porous media},
author = {Anna Ghazaryan and Stephane Lafortune and Peter McLarnan},
journal= {arXiv preprint arXiv:1411.2929},
year = {2014}
}
Comments
21 pages, 4 figures