Spatial wavenumber selection in recurrent precipitation

Ryan N. Goh, Samantha Mesuro, Arnd Scheel

Research output: Contribution to journalArticlepeer-review

18 Scopus citations


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
Issue number1
StatePublished - 2011


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


Dive into the research topics of 'Spatial wavenumber selection in recurrent precipitation'. Together they form a unique fingerprint.

Cite this