title: Nonlinear interactions in a rotating disk flow: From a Volterra model to the Ginzburg-Landau equation.
abstract: The physical system under consideration is the flow above a rotating disk and its cross-flow instability, which is a typical route to turbulence in three-dimensional boundary layers. Our aim is to study the nonlinear properties of the wavefield through a Volterra series equation. The kernels of the Volterra expansion, which contain relevant physical information about the system, are estimated by fitting two-point measurements via a nonlinear parametric model. We then consider describing the wavefield with the complex Ginzburg-Landau equation, and derive analytical relations which express the coefficients of the Ginzburg-Landau equation in terms of the kernels of the Volterra expansion. These relations must hold for a large class of weakly nonlinear systems, in fluid as well as in plasma physics. (c) 2000 American Institute of Physics.
authors.affiliation: Centre de Physique Theorique, CNRS Luminy Case 907, 13288 Marseille cedex 9, France.
authors.forename: E.
authors.initials: E
authors.lastname: Floriani
authors.forename: T.
authors.initials: T
authors.lastname: Dudok De Wit
authors.forename: P.
authors.initials: P
authors.lastname: Le Gal