INVESTIGADORES
PONCE DAWSON Silvina Martha
artículos
Título:
Bifurcations in a Three-Mode Model of the Navier-Stokes Equation
Autor/es:
COSTA, ANDREA; FERRO FONTAN, CONSTANTINO; GOMEZ, DANIEL; PONCE DAWSON, SILVINA; SICARDI SCHIFINO, ANIBAL
Revista:
PHYSICAL REVIEW A - ATOMIC, MOLECULAR AND OPTICAL PHYSICS
Editorial:
AMER PHYSICAL SOC
Referencias:
Año: 1988 vol. 38 p. 2037 - 2043
ISSN:
1050-2947
Resumen:
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.