Long wavelength instabilities of square patterns

DOI10.1016/0167-2789(93)90206-GzbMath0787.76024OpenAlexW2046741613WikidataQ61546871 ScholiaQ61546871MaRDI QIDQ1312505

Rebecca B. Hoyle

Publication date: 16 May 1994

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

Full work available at URL: https://doi.org/10.1016/0167-2789(93)90206-g

zbMATH Keywords

amplitude equationsEckhaus instabilitynonlinear phase diffusion equationszigzag instability

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15)

Related Items (4)

Nonlinear phase diffusion equations for the long-wave instabilities of hexagons ⋮ Turing patterns with O(3) symmetry ⋮ Sideband instabilities and defects of quasipatterns ⋮ Instability and localisation of patterns due to a conserved quantity

Cites Work

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• Phase Dynamics of Weakly Unstable Periodic Structures
• The transition from roll to square-cell solutions in Rayleigh–Bénard convection
• Nonlinear thermal convection with finite conducting boundaries
• Square-pattern convection in fluids with strongly temperature-dependent viscosity
• Rolls versus squares in thermal convection of fluids with temperature-dependent viscosity
• Nonlinear convection in a layer with nearly insulating boundaries
• Derivation of the amplitude equation at the Rayleigh–Bènard instability
• Planform selection by finite-amplitude thermal convection between poorly conducting slabs
• Square patterns and secondary instabilities in driven capillary waves
• Transition to time-dependent convection
• Distant side-walls cause slow amplitude modulation of cellular convection
• Finite bandwidth, finite amplitude convection

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