Dynamics of a conserved phase-field system

DOI10.1080/00036811.2014.997225zbMath1336.35037OpenAlexW2058702417WikidataQ58296615 ScholiaQ58296615MaRDI QIDQ2795446

Ahmed Bonfoh

Publication date: 21 March 2016

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2014.997225

zbMATH Keywords

global attractorsexponential attractors

Mathematics Subject Classification ID

Attractors (35B41) Singular perturbations in context of PDEs (35B25) A priori estimates in context of PDEs (35B45) Inertial manifolds (35B42) Inertial manifolds and other invariant attracting sets of infinite-dimensional dissipative dynamical systems (37L25) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Initial-boundary value problems for higher-order parabolic systems (35K52)

Related Items (4)

Large time behavior of a conserved phase-field system ⋮ Sufficient conditions for the continuity of inertial manifolds for singularly perturbed problems ⋮ The Cahn–Hilliard equation as limit of a conserved phase-field system ⋮ Robust exponential attractors for singularly perturbed conserved phase-field systems with no growth assumption on the nonlinear term

Cites Work

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• Invariant manifolds for flows in Banach spaces
• Singularly perturbed 1D Cahn-Hilliard equation revisited
• The singular limit dynamics of the phase-field equations
• Lower semicontinuity of attractors of gradient systems and applications
• On the gaps between numbers which are sums of two squares
• On Cahn-Hilliard-Gurtin equations.
• Exponential attractors and inertial manifolds for singular perturbations of the Cahn-Hilliard equations
• On the conserved phase-field model
• Some global dynamical properties of a class of pattern formation equations
• HYPERBOLIC RELAXATION OF THE VISCOUS CAHN–HILLIARD EQUATION IN 3-D

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