Towards a universal theory for natural patterns

DOI10.1016/0167-2789(94)90199-6zbMath0812.45008OpenAlexW2098399303MaRDI QIDQ1342201

Thierry Passot, Alan C. Newell

Publication date: 22 May 1995

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(94)90199-6

zbMATH Keywords

order parameternumerical comparisonsliquid crystalsalmost periodic patternsconvecting fluidsCross-Newell phase diffusion equationpattern forming systemswideband lasers

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Diffusion (76R50) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Lasers, masers, optical bistability, nonlinear optics (78A60) General theory of mathematical modeling (00A71)

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Cites Work

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• Axisymmetric cellular structures revisited
• Convection patterns in large aspect ratio systems
• The geometry of the phase diffusion equation
• Bifurcation analysis of the Eckhaus instability
• Stability of finite-amplitude convection
• The phase diffusion and mean drift equations for convection at finite Rayleigh numbers in large containers
• Asymptotic wavelet and Gabor analysis: extraction of instantaneous frequencies
• Patterns of convection in spherical shells
• Distant side-walls cause slow amplitude modulation of cellular convection
• Finite bandwidth, finite amplitude convection

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