Instabilities and spatio-temporal chaos of long-wave hexagon patterns in rotating Marangoni convection

DOI10.1063/1.1502585zbMath1080.76517arXivnlin/0203054OpenAlexW2046364046WikidataQ52015570 ScholiaQ52015570MaRDI QIDQ5706323

Fil Sain, Hermann Riecke, Ana Maria Mancho

Publication date: 7 November 2005

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0203054

zbMATH Keywords

Galerkin methodsurface-tension driven convection

Mathematics Subject Classification ID

Related Items (2)

Stability in the rotating Bénard problem with Newton-Robin and fixed heat flux boundary conditions ⋮ Induced defect nucleation and side-band instabilities in hexagons with rotation and mean flow

Cites Work

• Rotating Rayleigh-Benard convection: Kueppers-Lortz transition
• Pattern selection in long-wavelength convection
• Large cells in nonlinear Marangoni convection
• Bifurcation and stability of finite amplitude convection in a rotating layer
• Hexagonal structure of large-scale Marangoni convection
• Nonlinear Bénard-Marangoni convection in a rotating layer
• Effects of coriolis force and surface tension on Bénard-Marangoni convective instability
• The Eckhaus instability in hexagonal patterns
• Pattern formation in large-scale Marangoni convection with deformable interface
• Instabilities and spatio-temporal chaos in hexagon patterns with rotation
• Surface tension-driven convection patterns in two liquid layers.
• Stability of oscillating hexagons in rotating convection
• Thermal convection in vertical cylinders. A method based on potentials of velocity
• Stability of rolls and hexagonal patterns in non-potential systems
• Instabilities of hexagonal patterns with broken chiral symmetry
• On convection cells induced by surface tension
• Time-independent square patterns in surface-tension-driven Bénard convection
• Long-Wavelength Rotating Convection Between Poorly Conducting Boundaries
• [https://portal.mardi4nfdi.de/wiki/Publication:4313781 B�nard-Marangoni convection in a rotating fluid with and without surface deformation]
• Long-wavelength surface-tension-driven Bénard convection: experiment and theory
• Transition to chemical turbulence
• Square cells in surface-tension-driven Bénard convection: experiment and theory
• Interaction between short-scale Marangoni convection and long-scale deformational instability
• Transition from laminar convection to thermal turbulence in a rotating fluid layer
• On cellular convection driven by surface-tension gradients: effects of mean surface tension and surface viscosity
• Mean flow in hexagonal convection: Stability and nonlinear dynamics

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