Pattern formation for oscillatory bulk-mode competition in a two-layer Bénard problem

DOI10.1007/BF00914872zbMath0864.76028MaRDI QIDQ2564710

Yuriko Yamamuro Renardy

Publication date: 15 January 1997

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

Hopf bifurcationsurface tensionhexagonal latticedoubly periodic solutionsdensity stratificationinterfacial modetravelling rollscriterion for non-self-adjointness

Mathematics Subject Classification ID

Related Items (8)

The influence of a temperature-dependent interfacial heat release on nonlinear convective oscillations in a two-layer system ⋮ The influence of the interfacial heat release on nonlinear convective oscillations in two-layer systems ⋮ Influence of thermocapillary effect and interfacial heat release on convective oscillations in a two-layer system ⋮ Nonlinear dynamics of a two-layer system under the action of spatial temperature modulation of an interfacial heat release ⋮ Takens-Bogdanov bifurcation on the hexagonal lattice for double-layer convection ⋮ The influence of the horizontal component of the temperature gradient on nonlinear convective oscillations in two-layer systems ⋮ Oscillatory instability of Rayleigh-Marangoni-Bénard convection in two-layer liquid system ⋮ Model system for the transient behavior of double diffusive convection in two miscible layers

Cites Work

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• Hopf-steady-state mode interactions with 0(2) symmetry
• Mixed mode convection in an inclined slot
• On the Hopf bifurcation occurring in the two-layer Rayleigh–Bénard convective instability

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