Bifurcations in a three-mode model of the Navier-Stokes equation

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We analytically follow the nonlinear evolution of three coupled modes of the two-dimensional Navier-Stokes equation in an externally driven and dissipative case. As the external force amplitude (control parameter) is increased, a node-to-node bifurcation appears, giving rise to new stable equilibria...

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Autores principales: Ponce Dawson, Silvina, Ferro Fontán, Constantino, Sicardi Schifino, Aníbal Carlos
Publicado: 1988
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v38_n4_p2037_Costa
http://hdl.handle.net/20.500.12110/paper_10502947_v38_n4_p2037_Costa
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paper:paper_10502947_v38_n4_p2037_Costa2023-06-08T16:01:30Z Bifurcations in a three-mode model of the Navier-Stokes equation Ponce Dawson, Silvina Ferro Fontán, Constantino Sicardi Schifino, Aníbal Carlos We analytically follow the nonlinear evolution of three coupled modes of the two-dimensional Navier-Stokes equation in an externally driven and dissipative case. As the external force amplitude (control parameter) is increased, a node-to-node bifurcation appears, giving rise to new stable equilibria. We find that the most relevant set of three modes contributes to the energy and enstrophy cascades in the same directions as in fully developed turbulence. We model the coupling with the remaining modes as a white-noise contribution, deriving the equilibrium distribution function for the corresponding Fokker-Planck equation. © 1988 The American Physical Society. Fil:Ponce Dawson, S. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Ferro Fontãn, C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Sicardi Schifino, A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1988 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v38_n4_p2037_Costa http://hdl.handle.net/20.500.12110/paper_10502947_v38_n4_p2037_Costa
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description We analytically follow the nonlinear evolution of three coupled modes of the two-dimensional Navier-Stokes equation in an externally driven and dissipative case. As the external force amplitude (control parameter) is increased, a node-to-node bifurcation appears, giving rise to new stable equilibria. We find that the most relevant set of three modes contributes to the energy and enstrophy cascades in the same directions as in fully developed turbulence. We model the coupling with the remaining modes as a white-noise contribution, deriving the equilibrium distribution function for the corresponding Fokker-Planck equation. © 1988 The American Physical Society.
author Ponce Dawson, Silvina
Ferro Fontán, Constantino
Sicardi Schifino, Aníbal Carlos
spellingShingle Ponce Dawson, Silvina
Ferro Fontán, Constantino
Sicardi Schifino, Aníbal Carlos
Bifurcations in a three-mode model of the Navier-Stokes equation
author_facet Ponce Dawson, Silvina
Ferro Fontán, Constantino
Sicardi Schifino, Aníbal Carlos
author_sort Ponce Dawson, Silvina
title Bifurcations in a three-mode model of the Navier-Stokes equation
title_short Bifurcations in a three-mode model of the Navier-Stokes equation
title_full Bifurcations in a three-mode model of the Navier-Stokes equation
title_fullStr Bifurcations in a three-mode model of the Navier-Stokes equation
title_full_unstemmed Bifurcations in a three-mode model of the Navier-Stokes equation
title_sort bifurcations in a three-mode model of the navier-stokes equation
publishDate 1988
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v38_n4_p2037_Costa
http://hdl.handle.net/20.500.12110/paper_10502947_v38_n4_p2037_Costa
work_keys_str_mv AT poncedawsonsilvina bifurcationsinathreemodemodelofthenavierstokesequation
AT ferrofontanconstantino bifurcationsinathreemodemodelofthenavierstokesequation
AT sicardischifinoanibalcarlos bifurcationsinathreemodemodelofthenavierstokesequation
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