Bifurcations in a three-mode model of the Navier-Stokes equation
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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1988
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| LEADER | 03176caa a22004457a 4500 | ||
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| 001 | PAPER-751 | ||
| 003 | AR-BaUEN | ||
| 005 | 20250321092059.0 | ||
| 008 | 190411s1988 xx ||||fo|||| 00| 0 eng|d | ||
| 024 | 7 | |2 scopus |a 2-s2.0-35949008254 | |
| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 100 | 1 | |a Costa, Andrea | |
| 245 | 1 | 0 | |a Bifurcations in a three-mode model of the Navier-Stokes equation |
| 260 | |c 1988 | ||
| 270 | 1 | 0 | |m Costa, A.; Instituto de Astronomía y Física Del Espacio, Casilla de Correo No. 67, Sucursal 28, (1428) Buenos Aires, Argentina |
| 504 | |a Landau, L., Lifshitz, E., (1959) Fluid Mechanics, , Pergamon, London | ||
| 504 | |a Hasegawa, A., (1985) Adv. Phys., 34, p. 1 | ||
| 504 | |a Hasegawa, A., Kodama, Y., (1978) Phys. Rev. Lett., 41, p. 1470 | ||
| 504 | |a Majumdar, D., (1987) J. Plasma Phys., 37, p. 247 | ||
| 504 | |a Kraichnan, R., (1967) Phys. Fluids, 10, p. 1417 | ||
| 504 | |a Haken, H., (1983) Advanced Synergetics, , Springer-Verlag, Berlin | ||
| 504 | |a Lavenda, B., (1985) Nonequilibrium Statistical Thermodynamics, , Wiley, New York | ||
| 504 | |a Lefshetz, S., (1967) Differential Equations: Geometric Theory, , Dover, New York | ||
| 504 | |a Meunier, C., Verga, A., (1988) J. Stat. Phys., 50, p. 345 | ||
| 506 | |2 openaire |e Política editorial | ||
| 520 | 3 | |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. |l eng | |
| 593 | |a Instituto de Astronomía y Física Del Espacio, Casilla de Correo No. 67, Sucursal 28, (1428) Buenos Aires, Argentina | ||
| 593 | |a Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, (1428) Buenos Aires, Argentina | ||
| 700 | 1 | |a Gãmez, D. | |
| 700 | 1 | |a Ponce Dawson, S. | |
| 700 | 1 | |a Ferro Fontán, Constantino | |
| 700 | 1 | |a Sicardi Schifino, A. | |
| 773 | 0 | |d 1988 |g v. 38 |h pp. 2037-2043 |k n. 4 |x 10502947 |t Physical Review A | |
| 856 | 4 | 1 | |u https://www.scopus.com/inward/record.uri?eid=2-s2.0-35949008254&doi=10.1103%2fPhysRevA.38.2037&partnerID=40&md5=1f17d4e983a2efaab012a15770cbaca4 |x registro |y Registro en Scopus |
| 856 | 4 | 0 | |u https://doi.org/10.1103/PhysRevA.38.2037 |x doi |y DOI |
| 856 | 4 | 0 | |u https://hdl.handle.net/20.500.12110/paper_10502947_v38_n4_p2037_Costa |x handle |y Handle |
| 856 | 4 | 0 | |u https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v38_n4_p2037_Costa |x registro |y Registro en la Biblioteca Digital |
| 961 | |a paper_10502947_v38_n4_p2037_Costa |b paper |c PE | ||
| 962 | |a info:eu-repo/semantics/article |a info:ar-repo/semantics/artículo |b info:eu-repo/semantics/publishedVersion | ||
| 963 | |a VARI | ||