Solutions of the Ginzburg-Landau equation of interest in shear flow transition

L'equation de Ginzburg-Landau peut etre utilisee pour decrire l'evolution bidimensionnelle faiblement non lineaire d'une perturbation dans un ecoulement de Poiseuille plan pour des nombres de Reynolds quasi critiques. On considere une classe de solutions quasistationnaires de cette equation dont la variation spatiale peut etre periodique, quasiperiodique ou du type onde solitaire

[1]  L. Keefe,et al.  Dynamics of Perturbed Wavetrain Solutions to the Ginzburg‐Landau Equation , 1985 .

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

[3]  Ryogo Hirota,et al.  Direct method of finding exact solutions of nonlinear evolution equations , 1976 .

[4]  Bounded solutions of the nonlinear parabolic amplitude equation for plane Poiseuille flow , 1985, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[5]  M. Golubitsky,et al.  Hopf Bifurcation in the presence of symmetry , 1984 .

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

[7]  Kazuhiro Nozaki,et al.  Exact Solutions of the Generalized Ginzburg-Landau Equation , 1984 .

[8]  L. M. Hocking,et al.  On the nonlinear evolution of three-dimensional disturbances in plane Poiseuille flow , 1974, Journal of Fluid Mechanics.

[9]  Nancy Kopell,et al.  Target Patterns and Horseshoes from a Perturbed Central-Force Problem: Some Temporally Periodic Solutions to Reaction-Diffusion Equations , 1981 .

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

[11]  L. M. Hocking,et al.  On the nonlinear response of a marginally unstable plane parallel flow to a two-dimensional disturbance , 1972, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[12]  L. M. Hocking,et al.  A nonlinear instability burst in plane parallel flow , 1972, Journal of Fluid Mechanics.

[13]  S. Newman,et al.  Pressurized aerosols inhaled through extension devices , 1983 .

[14]  G. B. Schubauer,et al.  Laminar Boundary-Layer Oscillations and Stability of Laminar Flow , 1947 .