Degenerate \(O(2)\)-equivariant bifurcation equations and their applications to the Taylor problem

DOI10.1007/BF03167682zbMath0850.76796MaRDI QIDQ1175659

Hisashi Okamoto, Simon J. Tavener

Publication date: 25 June 1992

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

General theory of rotating fluids (76U05) Hydrodynamic stability (76E99)

Related Items (3)

Remarks on the bifurcation of two-dimensional capillary-gravity waves of finite depth ⋮ The structure of gravity-capillary waves of permanent profiles on deep water ⋮ Degenerate \(1:2\) steady state mode interaction -- MHD flow in a vertical slot

Cites Work

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• Group theoretic methods in bifurcation theory. With an appendix by P. Olver
• Singularities and groups in bifurcation theory. Volume I
• Pattern formation and bistability in flow between counterrotating cylinders
• Imperfect bifurcation in the presence of symmetry
• Singularities and groups in bifurcation theory. Volume II
• Stabilität und Verzweigung stationärer Lösungen der Navier- Stokesschen Gleichungen beim Taylorproblem. (Stability and branching of the stationary solutions of the Navier-Stokes equation on the problems of Taylor)
• Primary Flow Exchange Mechanisms in the Taylor Apparatus ApplyingImpermeable Stress-free Boundary Conditions
• Some bifurcation diagrams for Taylor vortex flows
• Symmetry and Stability in Taylor-Couette Flow
• Primary and secondary bifurcations in the Couette-Taylor problem
• Secondary flows and fluid instability between rotating cylinders

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