Spatial wavenumber selection in recurrent precipitation

Ryan N. Goh, Samantha Mesuro, Arnd Scheel

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

Abstract

We study invasion fronts in a class of simple, two-species reaction-diffusion systems that occur as models for recurrent precipitation and undercooled liquids. We exhibit several different modes of front propagation: the invasion of an unstable homogeneous equilibrium can create persistent periodic patterns, transient patterns, or simply a homogeneous state. We give criteria that distinguish between these different modes of invasion, corroborate our predictions with numerical simulations, and point to a rich variety of more subtle phenomena and bifurcations.

Original languageEnglish (US)
Pages (from-to)360-402
Number of pages43
JournalSIAM Journal on Applied Dynamical Systems
Volume10
Issue number1
DOIs
StatePublished - 2011

Keywords

  • Front propagation
  • Liesegang patterns
  • Pattern formation
  • Phase-field system
  • Pulled and pushed fronts

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