Spatial Wavenumber Selection in Recurrent Precipitation | Zendy

Ryan Goh | Zendy; Samantha Mesuro | Zendy; Arnd Scheel | Zendy

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Spatial Wavenumber Selection in Recurrent Precipitation

Author(s) -

Ryan Goh,

Samantha Mesuro,

Arnd Scheel

Publication year - 2011

Publication title -

siam journal on applied dynamical systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.218

H-Index - 61

ISSN - 1536-0040

DOI - 10.1137/100793086

Subject(s) - homogeneous , wavenumber , statistical physics , reaction–diffusion system , diffusion , precipitation , spatial heterogeneity , class (philosophy) , transient (computer programming) , front (military) , simple (philosophy) , variety (cybernetics) , pattern formation , selection (genetic algorithm) , physics , mathematics , computer science , mathematical analysis , meteorology , biology , thermodynamics , optics , statistics , ecology , philosophy , genetics , epistemology , artificial intelligence , operating system

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.

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