The Eckhaus instability in hexagonal patterns

DOI10.1016/0167-2789(94)90028-0zbMath0814.76044OpenAlexW2116193105MaRDI QIDQ1342191

V. Pereyra

Publication date: 22 June 1995

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

Full work available at URL: https://doi.org/10.1016/0167-2789(94)90028-0

zbMATH Keywords

symmetry breakingregions of instabilitycoupled envelope equationslinearized amplitude equationsroll systems

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15) Nonlinear effects in hydrodynamic stability (76E30)

Related Items

Nonlinear phase diffusion equations for the long-wave instabilities of hexagons, Dynamics of penta-hepta defects in hexagonal patterns, Bénard convection flows, Unnamed Item, Stability of rolls and hexagonal patterns in non-potential systems, Stability of hexagonal pattern in Rayleigh–Bénard convection for thermodependent shear-thinning fluids, Instabilities of hexagonal patterns with broken chiral symmetry, Instabilities and spatio-temporal chaos of long-wave hexagon patterns in rotating Marangoni convection, Mean flow in hexagonal convection: Stability and nonlinear dynamics, Instabilities and spatio-temporal chaos in hexagon patterns with rotation, Instability and localisation of patterns due to a conserved quantity, Induced defect nucleation and side-band instabilities in hexagons with rotation and mean flow, Wave vectors selection at the threshold of a generic instability of a hexagonal stationary pattern

Cites Work

• Unnamed Item
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• Defects in roll-hexagon competition
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• The non-linear interaction of a finite number of disturbances to a layer of fluid heated from below