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September 2007 KPP pulsating front speed-up by flows
Lenya Ryzhik, Andrej Zlatoš
Commun. Math. Sci. 5(3): 575-593 (September 2007).


We obtain a criterion for pulsating front speed-up by general periodic incompressible flows in two dimensions and in the presence of KPP nonlinearities. We achieve this by showing that the ratio of the minimal front speed and the effective diffusivity of the flow is bounded away from zero and infinity by constants independent of the flow. We also study speed-up of reaction-diffusion fronts by various examples of flows in two and three dimensions.


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Lenya Ryzhik. Andrej Zlatoš. "KPP pulsating front speed-up by flows." Commun. Math. Sci. 5 (3) 575 - 593, September 2007.


Published: September 2007
First available in Project Euclid: 29 August 2007

zbMATH: 1152.35055
MathSciNet: MR2352332

Primary: 35K57

Keywords: front speed-up , Reaction-diffusion equations , traveling fronts

Rights: Copyright © 2007 International Press of Boston

Vol.5 • No. 3 • September 2007
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