Reaction-Diffusion Front Speed Enhancement by Flows

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dc.creatorZlatos, Andrej
dc.date2009-05-26
dc.date.accessioned2026-07-07T13:18:16Z
dc.date.available2026-07-07T13:18:16Z
dc.descriptionWe study flow-induced enhancement of the speed of pulsating traveling fronts for reaction-diffusion equations, and quenching of reaction by fluid flows. We prove, for periodic flows in two dimensions and any combustion-type reaction, that the front speed is proportional to the square root of the (homogenized) effective diffusivity of the flow. We show that this result does not hold in three and more dimensions. We also prove conjectures from [1,3,11] for cellular flows, concerning the rate of speed-up of fronts and the minimal flow amplitude necessary to quench solutions with initial data of a fixed (large) size
dc.identifierhttps://arxiv.org/abs/0905.4250
dc.identifierhttp://arxiv.org/abs/0905.4250
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/231378
dc.subjectAnalysis of PDEs
dc.subject35K57, 35B27, 35K15
dc.titleReaction-Diffusion Front Speed Enhancement by Flows
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