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19992005
most citedExistence of KPP fronts in spatially-temporally periodic advection and variational principle for propagation speeds

23 citations · 24 across the 4 of their papers we have counts for

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math.AP2004

Existence of KPP Type Fronts in Space-Time Periodic Shear Flows and a Study of Minimal Speeds Based on Variational Principle

James Nolen, Jack Xin

We prove the existence of reaction-diffusion traveling fronts in mean zero space-time periodic shear flows for nonnegative reactions including the classical KPP (Kolmogorov-Petrovs…