Slow motion in higher-order systems and \(\Gamma\)-convergence in one space dimension

DOI10.1016/S0362-546X(99)00245-XzbMath0976.35005MaRDI QIDQ5931372

William D. Kalies, Thomas Wanner, Robert C. A. M. VanderVorst

Publication date: 24 April 2001

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

metastabilityphase separationbistable evolution equationgradient systeminitial data close to a step functiontransition layers

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Singular perturbations in context of PDEs (35B25) Variational methods applied to PDEs (35A15) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

Related Items

A Hermite spectral method for the computation of homoclinic orbits and associated functionals, Slow motion for one-dimensional nonlinear damped hyperbolic Allen-Cahn systems, Slow motion for the 1D Swift-Hohenberg equation, Slow motion for gradient systems with equal depth multiple-well potentials, Slow motion for a hyperbolic variation of Allen–Cahn equation in one space dimension, Semigroup estimates and fast-slow dynamics in parabolic-hyperbolic systems, Slow dynamics in reaction–diffusion systems, Stable patterns for fourth-order parabolic equations

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