Sharp Asymptotics for KPP Pulsating Front Speed-Up and Diffusion Enhancement by Flows |
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| Authors: | Andrej Zlatoš |
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| Affiliation: | 1. Department of Mathematics, University of Chicago, Chicago, IL, 60637, USA
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| Abstract: | 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*e(A)/A{c^*_{e}(A)/A} and D e (A)/A 2 as the flow amplitude A → ∞, with c*e(A){c^*_{e}(A)} the minimal front speed and D e (A) the effective diffusivity in direction e. |
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