Archive for Rational Mechanics and Analysis

, Volume 195, Issue 2, pp 441–453

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

Article

DOI: 10.1007/s00205-009-0282-1

Cite this article as:
Zlatoš, A. Arch Rational Mech Anal (2010) 195: 441. doi:10.1007/s00205-009-0282-1

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 De(A)/A2 as the flow amplitude A → ∞, with \({c^*_{e}(A)}\) the minimal front speed and De(A) the effective diffusivity in direction e.

Copyright information

© Springer-Verlag 2009

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of ChicagoChicagoUSA