The time-periodic problem of the viscous Cahn-Hilliard equation with the homogeneous Dirichlet boundary condition

DOI10.1007/s11784-022-01044-6zbMath1506.35005OpenAlexW4313532000MaRDI QIDQ2111942

Mitsuharu Ôtani, Keiichiro Kagawa

Publication date: 17 January 2023

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-022-01044-6

zbMATH Keywords

Dirichlet boundary conditionviscous Cahn-Hilliard equationtime-periodic problemexternal periodic forcing

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35) Periodic solutions to PDEs (35B10) Semilinear parabolic equations (35K58)

Cites Work

• A conservative numerical method for the Cahn-Hilliard equation with Dirichlet boundary conditions in complex domains
• Passage to the limit over small parameters in the viscous Cahn-Hilliard equation
• The viscous Cahn-Hilliard equation with periodic potentials and sources
• Asymptotic limits of viscous Cahn-Hilliard equation with homogeneous Dirichlet boundary condition
• Time periodic solutions for a Cahn-Hilliard type equation
• The Cahn-Hilliard type equations with periodic potentials and sources
• Compact sets in the space \(L^ p(0,T;B)\)
• Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance
• Viscous Cahn-Hilliard equation. II: Analysis
• Time periodic solutions of Cahn-Hilliard systems with dynamic boundary conditions
• Periodic solutions to the Cahn-Hilliard equation with constraint
• A Cahn-Hilliard type equation with periodic gradient-dependent potentials and sources
• 3-D viscous Cahn-Hilliard equation with memory
• The viscous Cahn-Hilliard equation. I. Computations
• Exponential attractors for a singularly perturbed Cahn‐Hilliard system
• A VISCOUS CAHN–HILLIARD EQUATION WITH PERIODIC GRADIENT DEPENDENT POTENTIALS AND SOURCES
• Free Energy of a Nonuniform System. I. Interfacial Free Energy
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