Wavenumber selection in coupled transport equations
Pattern Formation and Solitons
2017-02-14 v2
Abstract
We study mechanisms for wavenumber selection in a minimal model for run-and-tumble dynamics. We show that nonlinearity in tumbling rates induces the existence of a plethora of traveling- and standing-wave patterns, as well as a subtle selection mechanism for the wavenumbers of spatio-temporally periodic waves. We comment on possible implications for rippling patterns observed in colonies of myxobacteria.
Cite
@article{arxiv.1609.05741,
title = {Wavenumber selection in coupled transport equations},
author = {Arnd Scheel and Angela Stevens},
journal= {arXiv preprint arXiv:1609.05741},
year = {2017}
}
Comments
23 pages