Bifurcations of stationary, standing and travelling waves in triply diffusive convection

DOI10.1016/0167-2789(94)00208-8zbMath0899.76165OpenAlexW2024245607WikidataQ57927256 ScholiaQ57927256MaRDI QIDQ1345709

Roberts, Mark, Peter Ashwin, Irene M. Moroz

Publication date: 9 March 1995

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

Full work available at URL: https://doi.org/10.1016/0167-2789(94)00208-8

zbMATH Keywords

normal formLyapunov-Schmidt reductionperiodic boundary conditionsamplitude equationsstress-free boundary conditionscentre manifoldstability curvesheat-KCl-sucroseNaCl-KCl-sucrose

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15) Nonlinear effects in hydrodynamic stability (76E30) Diffusion and convection (76R99)

Related Items (3)

Multiple bifurcations in triple convection with non-ideal boundary conditions ⋮ Hidden symmetries and pattern formation in Lapwood convection ⋮ Toric geometry and equivariant bifurcations.

Cites Work

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• Singularities and groups in bifurcation theory. Volume I
• Bifurcations of certain family of planar vector fields tangent to axes
• Hopf bifurcations in Langmuir circulations
• Singularities and groups in bifurcation theory. Volume II
• An alternative proof of the Poincaré-Bertrand formula for real integrals and its generalization to \(n\) dimensions
• Interacting steady and oscillatory rolls in triple convection
• Symmetry and Stability in Taylor-Couette Flow
• The dynamics of triple convection
• The onset of convective instability in a triply diffusive fluid layer
• Multiple Instabilities in a Triply Diffusive System
• The influence of a third diffusing component upon the onset of convection
• Nonlinear dynamics in Langmuir circulations with O(2) symmetry
• Pattern selection for the oscillatory onset in thermosolutal convection
• Modulated rotating waves in O(2) mode interactions

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