Bénard–Marangoni convection: planforms and related theoretical predictions

DOI10.1017/S0022112098001669zbMath0927.76030OpenAlexW1987256500MaRDI QIDQ4224544

Jean Bragard, Manuel G. Velarde

Publication date: 14 December 1999

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112098001669

zbMATH Keywords

parametric investigationBoussinesq approximationpattern formationasymptotic behavioursquaresamplitude equationshexagonsrollsEckhaus bandoscillatory transitionresonant advective non-variational terms

Mathematics Subject Classification ID

Capillarity (surface tension) for incompressible viscous fluids (76D45) Convection in hydrodynamic stability (76E06) Forced convection (76R05)

Related Items (10)

THE ADJOINT PROBLEM IN THE PRESENCE OF A DEFORMED SURFACE: THE EXAMPLE OF THE ROSENSWEIG INSTABILITY ON MAGNETIC FLUIDS ⋮ Stability of rolls and hexagonal patterns in non-potential systems ⋮ Stability of hexagonal pattern in Rayleigh–Bénard convection for thermodependent shear-thinning fluids ⋮ Complex Patterns and Elementary Structures of Solutal Marangoni Convection: Experimental and Numerical Studies ⋮ Extended Galerkin-Eckhaus method in nonlinear thermoconvection ⋮ Darcy-Bénard-Marangoni convection in porous media ⋮ Mean flow in hexagonal convection: Stability and nonlinear dynamics ⋮ NONPOTENTIAL EFFECTS IN NONLINEAR DYNAMICS OF MARANGONI CONVECTION ⋮ Instability and localisation of patterns due to a conserved quantity ⋮ Induced defect nucleation and side-band instabilities in hexagons with rotation and mean flow

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