Enhancement of combustion by drift in a coupled reaction-diffusion model

2005/09/28 by Lam Raga A. Markely, David Andrzejewski, Markely, Lam Raga A. +5
Mathematics · Medicine · #35K57 #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models #Stochastic processes and statistical mechanics #math.AP #msc:35K57

paper · pdf · doi:10.48550/arxiv.math/0509666

13 pages

arxiv created 2005/09/28 · openalex publication_date 2005/09/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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