, Volume 195, Issue 2, pp 441-453
Date: 19 Nov 2009

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

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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 \({c^*_{e}(A)/A}\) and D e (A)/A 2 as the flow amplitude A → ∞, with \({c^*_{e}(A)}\) the minimal front speed and D e (A) the effective diffusivity in direction e.

Communicated by V. Sverak
The author has been partially supported by NSF grant DMS-0632442 and by an Alfred P. Sloan Research Fellowship.