Travelling wave solutions of the density-suppressed motility model
Analysis of PDEs
2020-06-24 v1
Abstract
In this paper, we study the traveling wave solutions to the density-suppressed motility model describing the ``self-trapping'' mechanism that induces spatio-temporal pattern formations observed in the experiment. We establish the existence of traveling wavefronts with a minimal wave speed and discuss the selection of wave profiles supplemented with numerical simulations illustrating the wave patterns which are well consistent with experimental observations.
Keywords
Cite
@article{arxiv.2006.12851,
title = {Travelling wave solutions of the density-suppressed motility model},
author = {Jing Li and Zhi-An Wang},
journal= {arXiv preprint arXiv:2006.12851},
year = {2020}
}