Wavenumber selection in coupled transport equations

Arnd Scheel, Angela Stevens

Research output: Contribution to journalArticle

7 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)1047-1073
Number of pages27
JournalJournal of Mathematical Biology
Volume75
Issue number5
DOIs
StatePublished - Nov 1 2017

Keywords

  • Balance laws
  • Coupled transport equations
  • Invasion fronts
  • Standing wave
  • Traveling wave
  • Wavenumber selection

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