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Title: Fourier-Bessel analysis of patterns in a circular domain
Authors: Guan, S. 
Lai, C.-H. 
Wei, G.W. 
Keywords: Cahn-Hilliard equation
Circular domain
Fourier-Bessel analysis
Issue Date: 1-May-2001
Citation: Guan, S., Lai, C.-H., Wei, G.W. (2001-05-01). Fourier-Bessel analysis of patterns in a circular domain. Physica D: Nonlinear Phenomena 151 (2-4) : 83-98. ScholarBank@NUS Repository.
Abstract: This paper explores the use of the Fourier-Bessel analysis for characterizing patterns in a circular domain. A set of stable patterns is found to be well-characterized by the Fourier-Bessel functions. Most patterns are dominated by a principal Fourier-Bessel mode [n, m] which has the largest Fourier-Bessel decomposition amplitude when the control parameter R is close to a corresponding non-trivial root (ρn,m) of the Bessel function. Moreover, when the control parameter is chosen to be close to two or more roots of the Bessel function, the corresponding principal Fourier-Bessel modes compete to dominate the morphology of the patterns. © 2001 Elsevier Science B.V.
Source Title: Physica D: Nonlinear Phenomena
ISSN: 01672789
DOI: 10.1016/S0167-2789(01)00223-8
Appears in Collections:Staff Publications

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