Math. Model. Nat. Phenom.
Volume 5, Number 5, 2010Reaction-diffusion waves
|Page(s)||123 - 137|
|Published online||13 September 2010|
Influence of Vibrations on Convective Instability of Reaction Fronts in Porous Media
Department of Mathematics, University Hassan II, M.A.C.
Laboratory, P.O. Box
146, FST-Mohammadia, Morocco
* Corresponding author: E-mail:
The aim of this paper is to study the effect of vibrations on convective instability of reaction fronts in porous media. The model contains reaction-diffusion equations coupled with the Darcy equation. Linear stability analysis is carried out and the convective instability boundary is found. The results are compared with direct numerical simulations.
Mathematics Subject Classification: 35K30 / 35Q57 / 76S05 / 76E15
Key words: linear stability analysis / reaction fronts / porous medium / numerical simulations
© EDP Sciences, 2010
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