When is the weakly nonlinear evolution of a localized disturbance governed by the Ginzburg–Landau equation?

DOI10.1098/RSPA.1999.0371zbMath0945.76032OpenAlexW2166988627MaRDI QIDQ4260230

P. A. Stewart, Stephen J. Cowley, Michael J. Jennings

Publication date: 9 October 2000

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1999.0371

zbMATH Keywords

plane Poiseuille flowGinzburg-Landau equationLandau equationweakly nonlinear regimefocusing singularityPoiseuille-Couette flowamplitude evolution equationinitially linear localized disturbancemarginally unstable systemreduced Davey-Stewartson equations

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) NLS equations (nonlinear Schrödinger equations) (35Q55) Parallel shear flows in hydrodynamic stability (76E05)

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