On the propagation speed of the single monostable equation
Analysis of PDEs
2024-08-21 v1
Abstract
In this paper, we first focus on the speed selection problem for the reaction-diffusion equation of the monostable type. By investigating the decay rates of the minimal traveling wave front, we propose a sufficient and necessary condition that reveals the essence of propagation phenomena. Moreover, since our argument relies solely on the comparison principle, it can be extended to more general monostable dynamical systems, such as nonlocal diffusion equations.
Keywords
Cite
@article{arxiv.2408.10480,
title = {On the propagation speed of the single monostable equation},
author = {Chang-Hong Wu and Dongyuan Xiao and Maolin Zhou},
journal= {arXiv preprint arXiv:2408.10480},
year = {2024}
}
Comments
arXiv admin note: text overlap with arXiv:2207.03371