New amplitude equation for Boussinesq convection and nonequilateral hexagonal patterns

DOI10.1016/0375-9601(95)00568-NzbMath1020.35510OpenAlexW2056746406MaRDI QIDQ1965697

Yanyan Li

Publication date: 8 February 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0375-9601(95)00568-n

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Absolute and convective instability and stability in hydrodynamic stability (76E15)

Related Items (7)

Dynamic bifurcations and pattern formation in melting-boundary convection ⋮ Dynamics of penta-hepta defects in hexagonal patterns ⋮ Stability of rolls and hexagonal patterns in non-potential systems ⋮ Numerical simulation of pattern formation in the Bénard–Marangoni convection ⋮ Dissipative soliton stabilization by several nonlinear gradient terms ⋮ On stability of self-assembled nanoscale patterns ⋮ Induced defect nucleation and side-band instabilities in hexagons with rotation and mean flow

Cites Work

• Unnamed Item
• Nonequilateral hexagonal patterns
• On stability of plane-parallel convective motion due to internal heat sources
• Pattern formation in the presence of symmetries
• Derivation of the amplitude equation at the Rayleigh–Bènard instability
• Transition to chemical turbulence
• On the stability of steady finite amplitude convection
• The stability of finite amplitude cellular convection and its relation to an extremum principle
• Distant side-walls cause slow amplitude modulation of cellular convection
• Finite bandwidth, finite amplitude convection

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