Fourier-Bessel analysis of patterns in a circular domain
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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.
Keywords
Cahn-Hilliard equation, Circular domain, Fourier-Bessel analysis
Source Title
Physica D: Nonlinear Phenomena
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Series/Report No.
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Date
2001-05-01
DOI
10.1016/S0167-2789(01)00223-8
Type
Article