The 2:1 steady/Hopf mode interaction in the two-layer Bénard problem

DOI10.1016/0167-2789(95)00112-HzbMath0899.76168OpenAlexW2170860439MaRDI QIDQ1893272

Kaoru Fujimura, Yuriko Yamamuro Renardy

Publication date: 3 July 1995

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

Full work available at URL: https://doi.org/10.1016/0167-2789(95)00112-h

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15) Nonlinear effects in hydrodynamic stability (76E30)

Related Items (9)

Multiple solutions and stability of confined convective and swirling flows – a continuing challenge ⋮ Three-dimensional instability of a two-layer Dean flow ⋮ Instabilities in two layer Rayleigh-Bénard convection: overview and outlook ⋮ Linear stability analysis of salt fingers with surface evaporation or warming ⋮ Takens-Bogdanov bifurcation on the hexagonal lattice for double-layer convection ⋮ Coupled KS-CGL and coupled Burgers-CGL equations for flames governed by a sequential reaction ⋮ Pattern formation for oscillatory bulk-mode competition in a two-layer Bénard problem ⋮ Model system for the transient behavior of double diffusive convection in two miscible layers ⋮ The global solution and nonlinear stability for the coupled CGL–Burgers equations for sequential flames in ℝN

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Heteroclinic cycles and modulated travelling waves in systems with 0(2) symmetry
• Bifurcating solutions at the onset of convection in the Bénard problem for two fluids
• Pattern formation and bistability in flow between counterrotating cylinders
• Resonant triad interactions in symmetric systems
• Fundamentals of two-fluid dynamics. Part I: Mathematical theory and applications
• Singularities and groups in bifurcation theory. Volume II
• Symmetry-breaking Hopf bifurcation in anisotropic systems
• Bifurcations in the presence of a symmetry group
• Periodic and Steady-State Mode Interactions Lead to Tori
• On the tendency towards hexagonal cells in steady convection
• A low-order model of the shear instability of convection: chaos and the effect of noise
• Iterates of Maps with Symmetry
• Oscillatory instability in a Bénard problem of two fluids
• Symmetry and Stability in Taylor-Couette Flow
• Interfacial stability in a two-layer Bénard problem
• Perturbation analysis of steady and oscillatory onset in a Bénard problem with two similar liquids
• The interaction of two spatially resonant patterns in thermal convection. Part 1. Exact 1:2 resonance
• A theoretical and experimental study of double-layer convection
• Hopf-steady-state mode interactions with 0(2) symmetry
• Hopf bifurcation on a square lattice
• Higher harmonic resonances in free convection between vertical parallel plates
• On the instability of Taylor vortices
• On the question of the preferred mode in cellular thermal convection

This page was built for publication: The 2:1 steady/Hopf mode interaction in the two-layer Bénard problem