Computing inertial manifolds

DOI10.3934/dcds.2002.8.815zbMath1032.34060OpenAlexW2011968490MaRDI QIDQ1848977

James C. Robinson

Publication date: 5 March 2004

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2002.8.815

zbMATH Keywords

spectral gap conditioninertial manifoldsapproximate inertial manifolds

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear differential equations in abstract spaces (34G20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Inertial manifolds (35B42) Inertial manifolds and other invariant attracting sets of infinite-dimensional dissipative dynamical systems (37L25)

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A flexible symmetry-preserving Galerkin/POD reduced order model applied to a convective instability problem ⋮ A POD/Galerkin model from eigenfunctions of non-converged Newton iterations in a convection problem ⋮ Turing-Hopf bifurcation in the reaction-diffusion equations and its applications ⋮ On the use of POD-based ROMs to analyze bifurcations in some dissipative systems ⋮ Spectral barriers and inertial manifolds for time- discretized dissipative equations ⋮ Computation of nonautonomous invariant and inertial manifolds ⋮ A unified approach to compute foliations, inertial manifolds, and tracking solutions

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