Different Asymptotic Spreading Speeds Induced by Advection in a Diffusion Problem with Free Boundaries
Analysis of PDEs
2013-02-27 v1
Abstract
In this paper, we consider a Fisher-KPP equation with an advection term and two free boundaries, which models the behavior of an invasive species in one dimension space. When spreading happens (that is, the solution converges to a positive constant), we use phase plane analysis and upper/lower solutions to prove that the rightward and leftward asymptotic spreading speeds exist, both are positive constants. Moreover, one of them is bigger and the other is smaller than the spreading speed in the corresponding problem without advection term.
Keywords
Cite
@article{arxiv.1302.6345,
title = {Different Asymptotic Spreading Speeds Induced by Advection in a Diffusion Problem with Free Boundaries},
author = {Hong Gu and Zhigui Lin and Bendong Lou},
journal= {arXiv preprint arXiv:1302.6345},
year = {2013}
}
Comments
12 pages