O(2)-symmetric bifurcation theory for convection rolls

DOI10.1016/0167-2789(87)90042-XzbMath0625.76051OpenAlexW2017896395MaRDI QIDQ580095

Dieter Armbruster

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0167-2789(87)90042-x

zbMATH Keywords

symmetryNavier-Stokes equationsBoussinesq approximationbifurcation equationsfree horizontal boundary conditionslateral periodic boundary conditionsMACSYMAsteady state modestwo- dimensional Bénard problemtwo-dimensional convection rolls

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15) Partial differential equations of mathematical physics and other areas of application (35Q99) Bifurcations in context of PDEs (35B32)

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Uses Software

• MACSYMA

Cites Work

• Group representation theory, bifurcation theory and pattern formation
• Subharmonic and asymmetric convection rolls
• Steady-state mode interactions in the presence of 0(2)-symmetry
• The non-linear interaction of two disturbances in the thermal convection problem
• On Bifurcation and Symmetry in Benard Convection and Taylor Vortices
• Unnamed Item

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