Open Access
March 2006 Enhancement of combustion by drift in a coupled reaction-diffusion model
Lam Raga A. Markely, David Andrzejewski, Erick Butzlaff, Alexander Kiselev
Commun. Math. Sci. 4(1): 213-225 (March 2006).


We study analytically and numerically a model describing front propagation of a KPP reaction in a fluid flow. The model consists of coupled one-dimensional reaction-diffusion equations with different drift coefficients. The main rigorous results give lower bounds for the speed of propagation that are linear in the drift coefficient, which agrees very well with the numerical observations. In addition, we find the optimal constant in a functional inequality of independent interest used in the proof.


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Lam Raga A. Markely. David Andrzejewski. Erick Butzlaff. Alexander Kiselev. "Enhancement of combustion by drift in a coupled reaction-diffusion model." Commun. Math. Sci. 4 (1) 213 - 225, March 2006.


Published: March 2006
First available in Project Euclid: 24 April 2006

zbMATH: 1122.35056
MathSciNet: MR2204084

Rights: Copyright © 2006 International Press of Boston

Vol.4 • No. 1 • March 2006
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