Robust exponential attractors for singularly perturbed conserved phase-field systems with no growth assumption on the nonlinear term

DOI10.3934/cpaa.2021125zbMath1479.35049OpenAlexW3182017044WikidataQ114574864 ScholiaQ114574864MaRDI QIDQ2054180

Ahmed Bonfoh, Ibrahim A. Suleman

Publication date: 1 December 2021

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2021125

zbMATH Keywords

global attractorexponential attractorsconserved phase-field systems

Mathematics Subject Classification ID

Attractors (35B41) Singular perturbations in context of PDEs (35B25) Stefan problems, phase changes, etc. (80A22) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

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• Large time behavior of a conserved phase-field system
• Global attractors for a three-dimensional conserved phase-field system with memory
• Upper semicontinuity of the attractor for a singularly perturbed hyperbolic equation
• Infinite-dimensional dynamical systems in mechanics and physics.
• Lower semicontinuity of the attractor for a singularly perturbed hyperbolic equation
• Exponential attractors of reaction-diffusion systems in an unbounded domain
• Maximal attractor and inertial sets for a conserved phase field model
• Viscous Cahn-Hilliard equation. II: Analysis
• On the conserved phase-field model
• Dynamics of a conserved phase-field system
• The Cahn–Hilliard equation as limit of a conserved phase-field system
• Stability of global and exponential attractors for a three‐dimensional conserved phase‐field system with memory
• Exponential attractors for a class of evolution equations by a decomposition method
• Exponential attractors for a nonlinear reaction-diffusion system in
• HYPERBOLIC RELAXATION OF THE VISCOUS CAHN–HILLIARD EQUATION IN 3-D
• Exponential attractors for a singularly perturbed Cahn‐Hilliard system
• A construction of a robust family of exponential attractors
• Exponential attractors in Banach spaces.