Bénard convection in a finite box: secondary and imperfect bifurcations

DOI10.1017/S0022112079002275zbMath0411.76061MaRDI QIDQ4198235

I. C. Walton, Philip Hall

Publication date: 1979

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

zbMATH Keywords

imperfect bifurcationssecondary bifurcationsBenard convectionfinite box

Mathematics Subject Classification ID

Bifurcations in context of PDEs (35B32) Diffusion and convection (76R99)

Related Items (9)

The butterfly singularity in double-diffusive convection ⋮ The Bénard problem for deep convection: Derivation of the Landau-Ginzburg equation ⋮ The effects of boundary imperfections on convection in a saturated porous layer: near-resonant wavelength excitation ⋮ The excitation of Görtler vortices by free stream coherent structures ⋮ Modulated Taylor–Couette flow ⋮ Vibrational thermal convection in a rectangular cavity ⋮ Convective flow patterns in rectangular boxes of finite extent ⋮ On Bifurcation and Symmetry in Benard Convection and Taylor Vortices ⋮ Convection in a layer with sidewalls: Bifurcation with reflection symmetries

Cites Work

• Secondary Bifurcation in Nonlinear Diffusion Reaction Equations
• The effect of distant sidewalls on the transition to finite amplitude Benard convection
• The smooth transition to a convective régime in a two-dimensional box

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