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Benoît PIER, Patrick HUERRE, Jean-Marc CHOMAZ and Arnaud COUAIRON
LadHyX, École polytechnique - CNRS, 91128 Palaiseau Cedex, France
Physics of Fluids 10, 2433–2435 (1998)
A new frequency selection criterion valid in the fully nonlinear regime is presented for extended oscillating states in spatially developing media. The spatial structure and frequency of these modes are dominated by the existence of a sharp front connecting linear to nonlinear regions. A new type of fully nonlinear time harmonic solutions called steep global modes is identified in the context of the supercritical complex Ginzburg-Landau equation with slowly varying coefficients. A similar formulation is likely to be applicable to fully nonlinear synchronized global oscillations in spatially developing free shear flows.
hal-00119908
1998a_pier_pof.pdf