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Diffusive mixing of the phase in pattern forming systems
Author(s) -
Schneider Guido
Publication year - 2003
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200310195
Subject(s) - mixing (physics) , turing , statistical physics , traveling wave , stability (learning theory) , phase (matter) , diffusion , physics , mathematics , classical mechanics , mathematical analysis , computer science , thermodynamics , quantum mechanics , machine learning , programming language
Abstract It is the purpose of this paper to state two theorems which haven't been stated explicitely before, namely the diffusive stability of spatially periodic traveling wave solutions and the diffusive mixing of the phase for Turing pattern. Although true for general systems, the results are only formulated for the Taylor‐Couette problem, a paradigm of pattern forming systems.