Mode interactions in large aspect ratio convection

DOI10.1007/s003329900039zbMath0902.76035OpenAlexW2046257374MaRDI QIDQ1381166

P. Hirschberg, Edgar Knoblauch

Publication date: 16 December 1998

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s003329900039

zbMATH Keywords

hidden symmetriesstress-free casehomotopic continuationno-slip sidewall boundary conditionstwo-dimensional Boussinesq convection in box

Mathematics Subject Classification ID

Related Items (7)

Minimal atmospheric finite-mode models preserving symmetry and generalized Hamiltonian structures ⋮ Nonlinear doubly diffusive convection in vertical enclosures ⋮ Natural doubly diffusive convection in three-dimensional enclosures ⋮ Three-dimensional doubly diffusive convectons: instability and transition to complex dynamics ⋮ The onset of steady vortices in Taylor-Couette flow: The role of approximate symmetry ⋮ Global Stability and Local Bifurcations in a Two-Fluid Model for Tokamak Plasma ⋮ Lie symmetry analysis and exact solutions of the quasigeostrophic two-layer problem

Cites Work

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• Boundary conditions and linear analysis of finite-cell Rayleigh–Bénard convection
• Strong spatial interactions with 1:1 resonance: a three-layer convection problem
• Steady PDEs on generalized rectangles: a change of genericity in mode interactions
• Distant side-walls cause slow amplitude modulation of cellular convection

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