Nonlinear phase diffusion equations for the long-wave instabilities of hexagons

DOI10.1016/0893-9659(95)00034-NzbMath0827.76023WikidataQ61546845 ScholiaQ61546845MaRDI QIDQ1894224

Rebecca B. Hoyle

Publication date: 18 December 1995

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

pattern formationGinzburg-Landau equationslowest order amplitude equationsphase instabilitiestwo-dimensional Eckhaus instability

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15) Multiphase and multicomponent flows (76T99)

Related Items (6)

Stability of hexagonal pattern in Rayleigh–Bénard convection for thermodependent shear-thinning fluids ⋮ Mean flow in hexagonal convection: Stability and nonlinear dynamics ⋮ PHASE INSTABILITIES OF DISTORTED HEXAGONAL PATTERNS ⋮ On stability of self-assembled nanoscale patterns ⋮ Instability and localisation of patterns due to a conserved quantity ⋮ Induced defect nucleation and side-band instabilities in hexagons with rotation and mean flow

Cites Work

• Long wavelength instabilities of square patterns
• The Eckhaus instability in hexagonal patterns
• Finite bandwidth, finite amplitude convection
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