New stability results for patterns in a model of long-wavelength convection

DOI10.1016/S0167-2789(98)00171-7zbMath0954.76023arXivpatt-sol/9712006MaRDI QIDQ1808327

Anne C. Skeldon, Mary Silber

Publication date: 6 December 1999

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

Full work available at URL: https://arxiv.org/abs/patt-sol/9712006

zbMATH Keywords

pattern formationsquareshexagonsrollslong-wavelength convectionstability of spatially periodic patterns

Mathematics Subject Classification ID

Convection in hydrodynamic stability (76E06)

Related Items (5)

Simple and superlattice Turing patterns in reaction-diffusion systems: Bifurcation, bistability, and parameter collapse ⋮ SELF-ORGANIZATION OF LÖSCH'S HEXAGONS IN ECONOMIC AGGLOMERATION FOR CORE-PERIPHERY MODELS ⋮ Spatial period-multiplying instabilities of hexagonal Faraday waves ⋮ The 1 : 2 spatial resonance on a hexagonal lattice in two-layered Rayleigh–Bénard problems ⋮ Three-dimensional oscillatory long-wave Marangoni convection in a binary liquid layer with the Soret effect: Bifurcation analysis

Cites Work

• Unnamed Item
• Pattern selection in long-wavelength convection
• Pattern selection with \(\mathrm{O}(3)\) symmetry
• Symmetries and pattern selection in Rayleigh-Bénard convection
• Hexagonal structure of large-scale Marangoni convection
• Planforms in two and three dimensions
• Superlattice patterns in surface waves
• Bifurcation on the hexagonal lattice and the planar Bénard problem
• Stability results for steady, spatially periodic planforms
• Planform selection by finite-amplitude thermal convection between poorly conducting slabs
• NUMERICAL STUDY OF PATTERNS AND THEIR EVOLUTION IN FINITE GEOMETRIES

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