Hexagons and triangles in the Rayleigh–Bénard problem: quintic-order equations on a hexagonal lattice

DOI10.1098/rspa.2007.0340zbMath1152.76386OpenAlexW2088347084MaRDI QIDQ5505104

Shigeru Yamada, Kikuo Fujimura

Publication date: 23 January 2009

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2007.0340

zbMATH Keywords

pattern formationamplitude equationscentre manifold reductionhexagonal latticeBoussinesq convection

Mathematics Subject Classification ID

Convection in hydrodynamic stability (76E06)

Related Items (3)

Weakly nonlinear analysis of Rayleigh–Bénard convection in shear-thinning fluids: nature of the bifurcation and pattern selection ⋮ Bifurcation of hexagonal patterns in a chemotaxis-diffusion-growth system ⋮ A heteroclinic network in mode interaction with symmetry

Cites Work

• Pattern selection in long-wavelength convection
• Symmetries and pattern selection in Rayleigh-Bénard convection
• Centre manifold reduction and the Stuart‐Landau equation for fluid motions
• Bifurcation on the hexagonal lattice and the planar Bénard problem
• Transition to chemical turbulence
• Re-Entrant Hexagons and Locked Turing–Hopf Fronts in the CIMA Reaction
• On the stability of steady finite amplitude convection
• The 1 : 2 spatial resonance on a hexagonal lattice in two-layered Rayleigh–Bénard problems
• The stability of finite amplitude cellular convection and its relation to an extremum principle

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