Open Access
June 2006 Quenching and propagation of combustion fronts in porous media
Peter Gordon
Commun. Math. Sci. 4(2): 471-479 (June 2006).


In this short note we study the model of subsonic detonation introduced by Sivashinsky. The model is described by the system of reaction-diffusion equations involving temperature, pressure and concentration of deficient reactant. It is shown that initial data with small support lead to quenching (decay of solution). In contrast, initial data with support large enough lead to propagation with finite velocity.


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Peter Gordon. "Quenching and propagation of combustion fronts in porous media." Commun. Math. Sci. 4 (2) 471 - 479, June 2006.


Published: June 2006
First available in Project Euclid: 3 August 2006

zbMATH: 1119.80012
MathSciNet: MR2219360

Primary: 35K57
Secondary: 35B40 , 76S05 , 76V05 , 80A25

Rights: Copyright © 2006 International Press of Boston

Vol.4 • No. 2 • June 2006
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