Abstract:
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.
Registro:
Documento: |
Artículo
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Título: | Bifurcations in a three-mode model of the Navier-Stokes equation |
Autor: | Costa, A.; Gãmez, D.; Ponce Dawson, S.; Ferro Fontãn, C.; Sicardi Schifino, A. |
Filiación: | Instituto de Astronomía y Física Del Espacio, Casilla de Correo No. 67, Sucursal 28, (1428) Buenos Aires, Argentina Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, (1428) Buenos Aires, Argentina
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Año: | 1988
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Volumen: | 38
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Número: | 4
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Página de inicio: | 2037
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Página de fin: | 2043
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DOI: |
http://dx.doi.org/10.1103/PhysRevA.38.2037 |
Título revista: | Physical Review A
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ISSN: | 10502947
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v38_n4_p2037_Costa |
Referencias:
- Landau, L., Lifshitz, E., (1959) Fluid Mechanics, , Pergamon, London
- Hasegawa, A., (1985) Adv. Phys., 34, p. 1
- Hasegawa, A., Kodama, Y., (1978) Phys. Rev. Lett., 41, p. 1470
- Majumdar, D., (1987) J. Plasma Phys., 37, p. 247
- Kraichnan, R., (1967) Phys. Fluids, 10, p. 1417
- Haken, H., (1983) Advanced Synergetics, , Springer-Verlag, Berlin
- Lavenda, B., (1985) Nonequilibrium Statistical Thermodynamics, , Wiley, New York
- Lefshetz, S., (1967) Differential Equations: Geometric Theory, , Dover, New York
- Meunier, C., Verga, A., (1988) J. Stat. Phys., 50, p. 345
Citas:
---------- APA ----------
Costa, A., Gãmez, D., Ponce Dawson, S., Ferro Fontãn, C. & Sicardi Schifino, A.
(1988)
. Bifurcations in a three-mode model of the Navier-Stokes equation. Physical Review A, 38(4), 2037-2043.
http://dx.doi.org/10.1103/PhysRevA.38.2037---------- CHICAGO ----------
Costa, A., Gãmez, D., Ponce Dawson, S., Ferro Fontãn, C., Sicardi Schifino, A.
"Bifurcations in a three-mode model of the Navier-Stokes equation"
. Physical Review A 38, no. 4
(1988) : 2037-2043.
http://dx.doi.org/10.1103/PhysRevA.38.2037---------- MLA ----------
Costa, A., Gãmez, D., Ponce Dawson, S., Ferro Fontãn, C., Sicardi Schifino, A.
"Bifurcations in a three-mode model of the Navier-Stokes equation"
. Physical Review A, vol. 38, no. 4, 1988, pp. 2037-2043.
http://dx.doi.org/10.1103/PhysRevA.38.2037---------- VANCOUVER ----------
Costa, A., Gãmez, D., Ponce Dawson, S., Ferro Fontãn, C., Sicardi Schifino, A. Bifurcations in a three-mode model of the Navier-Stokes equation. 1988;38(4):2037-2043.
http://dx.doi.org/10.1103/PhysRevA.38.2037