Oscillatory and competing instabilities in a nonlinear model for Langmuir circulations

DOI10.1063/1.865386zbMath0574.76046OpenAlexW2009019955MaRDI QIDQ3693109

Irene M. Moroz, Sidney Leibovich

Publication date: 1985

Published in: The Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.865386

zbMATH Keywords

buoyancyoscillatory convectioncenter manifolddouble diffusionnormal form transformationsmultiple bifurcationLangmuir circulationsdestabilizing vertical Stokes drift gradientfive-mode truncationstabilizing vertical stratification

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15) Dynamical systems and ergodic theory (37-XX) Diffusion and convection (76Rxx)

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Nonlinear dynamics in Langmuir circulations with O(2) symmetry, Interacting steady and oscillatory rolls in triple convection, Planktonic interactions and chaotic advection in Langmuir circulation, Amplitude Expansions and Normal Forms in a Model tor Thermohaline Convection, Pattern selection in long-wavelength convection, Nonlinear dynamics in Langmuir circulations and in thermosolutal convection, Hopf bifurcations in Langmuir circulations, A MACSYMA program for the multiple bifurcation analysis of double- diffusive convection, On Langmuir circulation in 1 : 2 and 1 : 3 resonance, On Langmuir circulation in shallow waters, An asymptotically reduced model of turbulent Langmuir circulation

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• On the evolution of the system of wind drift currents and Langmuir circulations in the ocean. Part 1. Theory and averaged current
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