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

Andrej Zlatos

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

Analysis of PDEs 2007-07-05 v2

Authors: Andrej Zlatos

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 $c^*(A)/A$ and $D(A)/A^2$ as $A\to\infty$ , where $c^*(A)$ is the minimal front speed and $D(A)$ the effective diffusivity.

Keywords

reaction-diffusion fronts

Cite

@article{arxiv.0704.1163,
  title  = {Sharp Asymptotics for KPP Pulsating Front Speed-up and Diffusion Enhancement by Flows},
  author = {Andrej Zlatos},
  journal= {arXiv preprint arXiv:0704.1163},
  year   = {2007}
}

Comments

11pp

Related papers

View all related →