Mean flow in hexagonal convection: Stability and nonlinear dynamics
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Publication:5958043
DOI10.1016/S0167-2789(01)00389-XzbMath1015.76025arXivphysics/0107058MaRDI QIDQ5958043
Hermann Riecke, Yuan-Nan Young
Publication date: 13 March 2002
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/physics/0107058
coupled Ginzburg-Landau equationslong-wave phase modesnonlinear hexagon convectionpenta-hepta defectsphase instabilitytransient disordered states
Related Items (4)
Stability of hexagonal pattern in Rayleigh–Bénard convection for thermodependent shear-thinning fluids ⋮ Instabilities and spatio-temporal chaos of long-wave hexagon patterns in rotating Marangoni convection ⋮ NONPOTENTIAL EFFECTS IN NONLINEAR DYNAMICS OF MARANGONI CONVECTION ⋮ Induced defect nucleation and side-band instabilities in hexagons with rotation and mean flow
Cites Work
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- The Eckhaus instability in hexagonal patterns
- Pattern formation in large-scale Marangoni convection with deformable interface
- Nonlinear phase diffusion equations for the long-wave instabilities of hexagons
- Dynamics of penta-hepta defects in hexagonal patterns
- Instabilities of hexagonal patterns with broken chiral symmetry
- Bénard–Marangoni convection: planforms and related theoretical predictions
- Recent Developments in Rayleigh-Bénard Convection
- Finite amplitude convection between stress-free boundaries; Ginzburg–Landau equations and modulation theory
- 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
- Nearly inviscid Faraday waves in annular containers of moderately large aspect ratio
- Sideband instabilities and defects of quasipatterns
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