Bi-Lipschitz Mané projectors and finite-dimensional reduction for complex Ginzburg–Landau equation

DOI10.1098/rspa.2020.0144zbMath1472.35225arXiv2002.05053OpenAlexW3040292624WikidataQ98649562 ScholiaQ98649562MaRDI QIDQ5161014

Anna Kostianko

Publication date: 29 October 2021

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

Full work available at URL: https://arxiv.org/abs/2002.05053

zbMATH Keywords

differential equationsanalysiscomplex Ginzburg-Landau equationinertial manifoldsspatial averaging principletemporal averaginglarge dispersionLipschitz Mané projectors

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Semilinear parabolic equations (35K58) Ginzburg-Landau equations (35Q56)

Related Items

Final dynamics of systems of nonlinear parabolic equations on the circle ⋮ Inertial manifolds for 3D complex Ginzburg-Landau equations with periodic boundary conditions ⋮ Attractors. Then and now ⋮ Smooth extensions for inertial manifolds of semilinear parabolic equations ⋮ Kwak transform and inertial manifolds revisited ⋮ Inertial Manifolds via Spatial Averaging Revisited

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