English

Road-field reaction-diffusion system: a new threshold for long range exchanges

Analysis of PDEs 2015-04-22 v1

Abstract

We consider reaction-diffusion equations of KPP type in a presence of a line of fast diffusion with non-local exchange terms between the line and the framework. Our study deals with the infimum of the spreading speed depending on the exchange functions. We exhibit a new threshold in the limit of long range exchange terms for the line to influence the propagation.

Keywords

Cite

@article{arxiv.1504.05437,
  title  = {Road-field reaction-diffusion system: a new threshold for long range exchanges},
  author = {Antoine Pauthier},
  journal= {arXiv preprint arXiv:1504.05437},
  year   = {2015}
}

Comments

7 pages

R2 v1 2026-06-22T09:19:48.703Z