Existence of travelling waves for a reaction-diffusion system with a line of fast diffusion
Analysis of PDEs
2014-10-20 v1
Abstract
We prove existence and uniqueness of travelling waves for a reaction-diffusion system coupling a classical reaction-diffusion equation in a strip with a diffusion equation on a line. To do this we use a continuation method which leads to further insight into the system. In particular, the transition occurs through a singular perturbation which seems new in this context, connecting the system with a Wentzell type boundary value problem.
Keywords
Cite
@article{arxiv.1410.4736,
title = {Existence of travelling waves for a reaction-diffusion system with a line of fast diffusion},
author = {Laurent Dietrich},
journal= {arXiv preprint arXiv:1410.4736},
year = {2014}
}