Maximal attractor and inertial set for Eguchi-Oki-Matsumura equation

DOI10.1016/j.jmaa.2009.06.014zbMath1184.35068OpenAlexW2047172518MaRDI QIDQ2267483

Naoto Tanaka, Masaki Kurokiba, Atusi Tani

Publication date: 1 March 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.06.014

zbMATH Keywords

phase separationbinary alloysorder-disorder transitioninertial set

Mathematics Subject Classification ID

Attractors (35B41) Multiphase and multicomponent flows (76T99) Semilinear parabolic equations (35K58) Initial-boundary value problems for higher-order parabolic systems (35K52)

Related Items (1)

Optimal distributed control for a coupled phase-field system

Cites Work

• Inertial manifolds and inertial sets for the phase-field equations
• Finite-dimensional exponential attractor for a model for order-disorder and phase separation
• Maximal attractor for the coupled Cahn-Hilliard equations
• Infinite-dimensional dynamical systems in mechanics and physics.
• Existence of solution for Eguchi-Oki-Matsumura equation describing phase separation and order-disorder transition in binary alloys
• Global attractor for the Cahn-Hilliard/Allen-Cahn system
• Finite dimensional exponential attractor for the phase field model
• On the Eguchi--Oki--Matsumura Equation for Phase Separation in One Space Dimension
• Free Energy of a Nonuniform System. I. Interfacial Free Energy
• Note on steady solutions of the Eguchi-Oki-Matsumura equation

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