Connecting a direct and a Galerkin approach to slow manifolds in infinite dimensions

DOI10.1090/bproc/92zbMath1481.37092arXiv2102.13533OpenAlexW3196049687MaRDI QIDQ3382774

Maximilian Engel, Felix Hummel, Christian Kuehn

Publication date: 22 September 2021

Published in: Proceedings of the American Mathematical Society, Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.13533

zbMATH Keywords

reaction-diffusion equationsGalerkin discretizationfast-slow systemsinfinite-dimensional dynamics

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Stability problems for infinite-dimensional dissipative dynamical systems (37L15) Special approximation methods (nonlinear Galerkin, etc.) for infinite-dimensional dissipative dynamical systems (37L65) Singular perturbations for ordinary differential equations (34E15) Inertial manifolds and other invariant attracting sets of infinite-dimensional dissipative dynamical systems (37L25)

Related Items (3)

Slow manifolds for infinite-dimensional evolution equations ⋮ Adaptive dynamical networks ⋮ Reduction methods in climate dynamics -- a brief review

Cites Work

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• Geometric singular perturbation theory for ordinary differential equations
• Normally hyperbolic invariant manifolds in dynamical systems
• Infinite Dimensional Geometric Singular Perturbation Theory for the Maxwell--Bloch Equations
• Existence and persistence of invariant manifolds for semiflows in Banach space

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