Bifurcations to local and global modes in spatially developing flows.

On souligne un scenario possible de bifurcations successives vers les modes local et global sur un modele de Ginzburg Landau a coefficients variables. On montre que des resonances autoentretenues peuvent apparaitre par l'intermediaire d'une bifurcation de Hopf lorsque le systeme presente une region d'instabilite locale absolue suffisamment grande. Application a des ecoulements tels que sillages et jet heterogenes

[1]  R. Deissler.  Noise-sustained structure, intermittency, and the Ginzburg-Landau equation , 1985 .

[2]  Chih-Ming Ho,et al.  Perturbed Free Shear Layers , 1984 .

[3]  John Whitehead,et al.  Finite bandwidth, finite amplitude convection , 1969, Journal of Fluid Mechanics.

[4]  Michael S. Triantafyllou,et al.  On the formation of vortex streets behind stationary cylinders , 1986, Journal of Fluid Mechanics.

[5]  Lan N. Nguyen,et al.  Absolute instability in the near-wake of two-dimensional bluff bodies , 1987 .

[6]  E. Naudascher,et al.  Self-Sustained Oscillations of Impinging Free Shear Layers , 1979 .

[7]  M. Gaster.  A theoretical model of a wave packet in the boundary layer on a flat plate , 1975, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[8]  R. C. DiPrima,et al.  The Eckhaus and Benjamin-Feir resonance mechanisms , 1978, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[9]  L. Merkine.  Convective and absolute instability of baroclinic eddies , 1977 .

[10]  Michio Nishioka,et al.  Mechanism of determination of the shedding frequency of vortices behind a cylinder at low Reynolds numbers , 1978, Journal of Fluid Mechanics.

[11]  W. Koch,et al.  Local instability characteristics and frequency determination of self-excited wake flows , 1985 .

[12]  P. Monkewitz,et al.  Absolute and convective instabilities in free shear layers , 1985, Journal of Fluid Mechanics.

[13]  T. Balsa.  On the spatial instability of piecewise linear free shear layers , 1987, Journal of Fluid Mechanics.

[14]  K. Stewartson,et al.  A non-linear instability theory for a wave system in plane Poiseuille flow , 1971, Journal of Fluid Mechanics.