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Instabilities of one-dimensional cellular patterns

1990/02/19 by P. Coullet, Gérard Iooss · 3 citations
Materials Science · Physics and Astronomy · #Solidification and crystal growth phenomena #Theoretical and Computational Physics #Pickering emulsions and particle stabilization

paper · doi:10.1103/physrevlett.64.866

openalex publication_date 1990/02/19 · openalex created_date 2016/06/24 · openalex updated_date 2026/06/11

Abstract

Symmetry arguments are used to classify the various modes of instabilities of one-dimensional periodic patterns. An important feature of this theory is to point out the coupling between these modes and the phase of the cellular structure. A number of results presented allow to interpret recent observations in hydrodynamical flows, directional solidification, and fingering experiments.

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