One-Dimensional Slow Invariant Manifolds for Fully Coupled Reaction and Micro-scale Diffusion

DOI10.1137/120877118zbMath1282.35044OpenAlexW1975752738MaRDI QIDQ2871342

Joseph M. Powers, Joshua~D. Mengers

Publication date: 22 January 2014

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/120877118

zbMATH Keywords

approximate inertial manifoldmodel reductionchemical kineticsGalerkin projection

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) General geometric structures on low-dimensional manifolds (57M50) Chemical kinetics in thermodynamics and heat transfer (80A30) Bifurcations in context of PDEs (35B32) Inertial manifolds (35B42)

Related Items (5)

Analysis of the approximate slow invariant manifold method for reactive flow equations ⋮ Nonlinear Galerkin methods for a system of PDEs with Turing instabilities ⋮ Hilbert’s 6th Problem: exact and approximate hydrodynamic manifolds for kinetic equations ⋮ On unifying concepts for trajectory-based slow invariant attracting manifold computation in kinetic multiscale models ⋮ Slow attractive canonical invariant manifolds for reactive systems

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