Hopf bifurcations in Langmuir circulations

DOI10.1016/0167-2789(92)90217-BzbMath0763.76023OpenAlexW2033318521MaRDI QIDQ1207233

Stephen M. Cox, Amit Tandon, Sidney Leibovich, Irene M. Moroz

Publication date: 1 April 1993

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

Full work available at URL: https://doi.org/10.1016/0167-2789(92)90217-b

zbMATH Keywords

method of multiple scalesoscillatory convectionperiodic boundary conditionsamplitude equations\(O(2)\) symmetrycontinuously stratified layer of fluid

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Absolute and convective instability and stability in hydrodynamic stability (76E15) Nonlinear effects in hydrodynamic stability (76E30) Reaction effects in flows (76V05)

Related Items

Bifurcations of stationary, standing and travelling waves in triply diffusive convection, Thermosolutal convection between poorly conducting plates, Multiple bifurcations in triple convection with non-ideal boundary conditions, Planktonic interactions and chaotic advection in Langmuir circulation, Regenerative tool chatter near a codimension 2 Hopf point using multiple scales, Thermohaline convection with nonlinear salt profiles, On Langmuir circulation in 1 : 2 and 1 : 3 resonance, An asymptotically reduced model of turbulent Langmuir circulation

Uses Software

• Mathematica

Cites Work

• On the calculation of coupling coefficients in amplitude equations
• Singularities and groups in bifurcation theory. Volume II
• Oscillatory and competing instabilities in a nonlinear model for Langmuir circulations
• Symmetry and Stability in Taylor-Couette Flow
• Primary and secondary bifurcations in the Couette-Taylor problem
• The Takens-Bogdanov bifurcation with O(2)-symmetry
• Hopf-Hopf mode interactions with O(2) symmetry
• Nonlinear dynamics in Langmuir circulations and in thermosolutal convection
• Nonlinear dynamics in Langmuir circulations with O(2) symmetry
• A rational model for Langmuir circulations
• Nonlinear double-diffusive convection
• Nonlinear compressible magnetoconvection Part 1. Travelling waves and oscillations
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