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: Costa, A., Gãmez, D., Ponce Dawson, S., Ferro Fontãn, C., Sicardi Schifino, A.
Formato: JOUR
Acceso en línea: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 todo:paper_10502947_v38_n4_p2037_Costa2023-10-03T15:58:48Z Bifurcations in a three-mode model of the Navier-Stokes equation Costa, A. Gãmez, D. Ponce Dawson, S. Ferro Fontãn, C. Sicardi Schifino, A. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_10502947_v38_n4_p2037_Costa
institution Universidad de Buenos Aires
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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.
format JOUR
author Costa, A.
Gãmez, D.
Ponce Dawson, S.
Ferro Fontãn, C.
Sicardi Schifino, A.
spellingShingle Costa, A.
Gãmez, D.
Ponce Dawson, S.
Ferro Fontãn, C.
Sicardi Schifino, A.
Bifurcations in a three-mode model of the Navier-Stokes equation
author_facet Costa, A.
Gãmez, D.
Ponce Dawson, S.
Ferro Fontãn, C.
Sicardi Schifino, A.
author_sort Costa, A.
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
url http://hdl.handle.net/20.500.12110/paper_10502947_v38_n4_p2037_Costa
work_keys_str_mv AT costaa bifurcationsinathreemodemodelofthenavierstokesequation
AT gamezd bifurcationsinathreemodemodelofthenavierstokesequation
AT poncedawsons bifurcationsinathreemodemodelofthenavierstokesequation
AT ferrofontanc bifurcationsinathreemodemodelofthenavierstokesequation
AT sicardischifinoa bifurcationsinathreemodemodelofthenavierstokesequation
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