Travelling wave solutions in a negative nonlinear diffusion-reaction model
Analysis of PDEs
2020-09-17 v2
Abstract
We use a geometric approach to prove the existence of smooth travelling wave solutions of a nonlinear diffusion-reaction equation with logistic kinetics and a convex nonlinear diffusivity function which changes sign twice in our domain of interest. We determine the minimum wave speed, c*, and investigate its relation to the spectral stability of the travelling wave solutions.
Cite
@article{arxiv.1903.10090,
title = {Travelling wave solutions in a negative nonlinear diffusion-reaction model},
author = {Yifei Li and Peter van Heijster and Robert Marangell and Matthew J. Simpson},
journal= {arXiv preprint arXiv:1903.10090},
year = {2020}
}
Comments
23 pages, 10 figures