Sharp Asymptotics for KPP Pulsating Front Speed-up and Diffusion Enhancement by Flows

Details Sharp Asymptotics for KPP Pulsating Front Speed-up and Diffusion Enhancement by Flows Sharp Asymptotics for KPP Pulsating Front Speed-up and Diffusion Enhancement by Flows

2007-04-09

arxiv.org/abs/0704.1163v2

Mathematics

Analysis of PDEs

11pp

Scientific paper

We study KPP pulsating front speed-up and effective diffusivity enhancement
by general periodic incompressible flows. We prove the existence of and
determine the limits $c^*(A)/A$ and $D(A)/A^2$ as $A\to\infty$, where $c^*(A)$
is the minimal front speed and $D(A)$ the effective diffusivity.

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