Geodesic
Convective Instability of Reaction Fronts in Porous Media
K. Allali1 ; A. Ducrot2 ; A. Taik1 ; V. Volpert3
1 Department of Mathematics, University Hassan II, Mohammedia, Morocco
2 University Bordeaux 2, UMR 5466 CNRS, 33076 Bordeaux, France
3 University Lyon 1, UMR 5208 CNRS, 69622 Villeurbanne, France
Mathematical modelling of natural phenomena, Tome 2 (2007) no. 2, pp. 20-39.

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We study the influence of natural convection on stability of reaction fronts in porous media. The model consists of the heat equation, of the equation for the depth of conversion and of the equations of motion under the Darcy law. Linear stability analysis of the problem is fulfilled, the stability boundary is found. Direct numerical simulations are performed and compared with the linear stability analysis.
DOI : 10.1051/mmnp:2008017

K. Allali 1 ; A. Ducrot 2 ; A. Taik 1 ; V. Volpert 3

1 Department of Mathematics, University Hassan II, Mohammedia, Morocco
2 University Bordeaux 2, UMR 5466 CNRS, 33076 Bordeaux, France
3 University Lyon 1, UMR 5208 CNRS, 69622 Villeurbanne, France 
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     title = {Convective {Instability} of {Reaction} {Fronts} in {Porous} {Media}},
     journal = {Mathematical modelling of natural phenomena},
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K. Allali; A. Ducrot; A. Taik; V. Volpert. Convective Instability of Reaction Fronts in Porous Media. Mathematical modelling of natural phenomena, Tome 2 (2007) no. 2, pp. 20-39. doi : 10.1051/mmnp:2008017. http://geodesic.mathdoc.fr/articles/10.1051/mmnp:2008017/

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