Artículo

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) Physical Review A. 38(4):2037-2043
La versión final de este artículo es de uso interno. El editor solo permite incluir en el repositorio el artículo en su versión post-print. Por favor, si usted la posee enviela a
Consulte el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

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
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
Año:1988
Volumen:38
Número:4
Página de inicio:2037
Página de fin:2043
DOI: http://dx.doi.org/10.1103/PhysRevA.38.2037
Título revista:Physical Review A
ISSN:10502947
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