Derivation of the amplitude equation at the Rayleigh–Bènard instability
From MaRDI portal
Publication:3888748
DOI10.1063/1.863198zbMath0444.76066OpenAlexW2080429647MaRDI QIDQ3888748
Publication date: 1980
Published in: The Physics of Fluids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.863198
time-dependent Ginzburg-Landau equationamplitude equationRayleigh-Benard instabilityfree and rigid upper and lower boundaries
Related Items
Dynamic bifurcations and pattern formation in melting-boundary convection ⋮ Euclidean invariant phase dynamics for propagating pattern ⋮ Transition from hexagons to rolls in convection in fluids under non-Boussinesq conditions ⋮ Weakly nonlinear analysis of Rayleigh–Bénard convection in shear-thinning fluids: nature of the bifurcation and pattern selection ⋮ Nonlinear convection in a rigid channel uniformly heated from below ⋮ Zero-Prandtl-number convection ⋮ Boundary conditions and linear analysis of finite-cell Rayleigh–Bénard convection ⋮ A diagrammatic derivation of (convective) pattern equations ⋮ Crossed rolls at onset of convection in a rigid box ⋮ On finite-amplitude patterns of convection in a rectangular-planform container ⋮ Absolute and convective instabilities in electrohydrodynamic flow subjected to a Poiseuille flow: a linear analysis ⋮ New amplitude equation for Boussinesq convection and nonequilateral hexagonal patterns ⋮ Strong non-Boussinesq effects near the onset of convection in a fluid near its critical point ⋮ Extended Galerkin-Eckhaus method in nonlinear thermoconvection ⋮ Weakly nonlinear analysis of Rayleigh-Bénard convection problem in extended Boussinesq approximation ⋮ Phase-winding solutions in a finite container above the convective threshold ⋮ Asymptotic study and weakly nonlinear analysis at the onset of Rayleigh–Bénard convection in Hele–Shaw cell ⋮ Weakly nonlinear stability analysis of subcritical electrohydrodynamic flow subject to strong unipolar injection ⋮ Rayleigh–Bénard convection in the presence of spatial temperature modulations ⋮ The amplitude equation near the convective threshold: application to time-dependent heating experiments ⋮ Long wavelength instabilities of square patterns ⋮ Forcing of convection due to time-dependent heating near threshold ⋮ Finite amplitude convection between stress-free boundaries; Ginzburg–Landau equations and modulation theory ⋮ Experiments with pattern-forming systems ⋮ Patterns of convection in solidifying binary solutions ⋮ Axisymmetric cellular structures revisited
This page was built for publication: Derivation of the amplitude equation at the Rayleigh–Bènard instability