Bifurcating solutions at the onset of convection in the Bénard problem for two fluids

DOI10.1016/0167-2789(88)90053-XzbMath0656.76044OpenAlexW2103829950MaRDI QIDQ1110408

Michael Renardy, Yuriko Yamamuro Renardy

Publication date: 1988

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(88)90053-x

zbMATH Keywords

Hopf bifurcationsoscillationshexagonal symmetryBénard probleminfinite horizontal platessymmetry- induced degeneracythe two-fluid Bénard problem

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15) Multiphase and multicomponent flows (76T99) Basic methods in fluid mechanics (76M99)

Related Items

Hopf bifurcation on a simple cubic lattice, Pattern selection in three-dimensional magnetoconvection, The 2:1 steady/Hopf mode interaction in the two-layer Bénard problem, On the Hopf bifurcation occurring in the two-layer Rayleigh–Bénard convective instability, Pattern selection in the Bénard problem for a viscoelastic fluid, Instabilities in two layer Rayleigh-Bénard convection: overview and outlook, The 1 : 2 spatial resonance on a hexagonal lattice in two-layered Rayleigh–Bénard problems, Takens-Bogdanov bifurcation on the hexagonal lattice for double-layer convection, Pattern selection for the oscillatory onset in thermosolutal convection, Weakly nonlinear behavior of periodic disturbances in two-layer Couette–Poiseuille flow, Pattern formation for oscillatory bulk-mode competition in a two-layer Bénard problem, Bénard-Marangoni convection of a binary mixture as an example of an oscillatory bifurcation under strong symmetry-breaking effects, Two-fluid Marangoni-Bénard convection with a deformable interface.

Cites Work

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