Invariant manifolds of interior multi-spike states for the Cahn-Hilliard equation in higher space dimensions

DOI10.1090/tran/6817zbMath1372.35019OpenAlexW2542893531MaRDI QIDQ2970810

Peter W. Bates, Jiayin Jin, Giorgio Fusco

Publication date: 31 March 2017

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/tran/6817

zbMATH Keywords

infinite-dimensional dynamical systemsmulti-spike solutionsalmost stationary statesapproximately invariant manifoldsdynamics of interior spikesspeed spikes

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Singular perturbations in context of PDEs (35B25) Invariant manifold theory for dynamical systems (37D10) Inertial manifolds and other invariant attracting sets of infinite-dimensional dissipative dynamical systems (37L25)

Related Items

Metastable dynamics for a hyperbolic variant of the mass conserving Allen-Cahn equation in one space dimension, Slow motion for the nonlocal Allen-Cahn equation in \(n\) dimensions, GLOBAL STABLE AND UNSTABLE MANIFOLDS FOR A CLASS OF SEMILINEAR EQUATIONS WITH SECTORIALLY DICHOTOMOUS OPERATOR

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