English

Asymptotics of the KPP minimal speed within large drift

Analysis of PDEs 2011-04-19 v2

Abstract

This Note is concerned with the asymptotic behavior of the minimal KPP speed of propagation for reaction- advection-diffusion equations with a large drift Mq (where q is the advection). We first give the limit of the speed as M\rightarrow+\infty in any space dimension N. Then, we give the necessary and sufficient condition that the advection field should satisfy so that the speed acts as O(M) as M \rightarrow+\infty.

Keywords

Cite

@article{arxiv.1007.0972,
  title  = {Asymptotics of the KPP minimal speed within large drift},
  author = {Mohammad El Smaily and Stéphane Kirsch},
  journal= {arXiv preprint arXiv:1007.0972},
  year   = {2011}
}

Comments

6 pages