Work

Wavenumber selection in coupled transport equations

Year: 2016
Type: preprint
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.
Language: English
Open Access status: green
OpenAlex ID: W2951037719
Cites: 35
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Related to: 20