Asymptotic limits of viscous Cahn-Hilliard equation with homogeneous Dirichlet boundary condition

DOI10.1016/j.jmaa.2022.126106OpenAlexW4213435260MaRDI QIDQ831468

Keiichiro Kagawa, Mitsuharu Ôtani

Publication date: 23 March 2022

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.2022.126106

zbMATH Keywords

Cahn-Hilliard equationDirichlet boundary conditionasymptotic limitsAllen-Cahn equationviscous Cahn-Hilliard equationviscous diffusion equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for higher-order parabolic equations (35K35) Semilinear parabolic equations (35K58)

Related Items

Existence of solutions to a Cahn-Hilliard system with two mobilities, A Cahn-Hilliard system with forward-backward dynamic boundary condition and non-smooth potentials, The time-periodic problem of the viscous Cahn-Hilliard equation with the homogeneous Dirichlet boundary condition

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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
• Equation and dynamic boundary condition of Cahn-Hilliard type with singular potentials
• Compact sets in the space \(L^ p(0,T;B)\)
• Metastable internal layer dynamics for the viscous Cahn-Hilliard equation
• Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance
• Viscous Cahn-Hilliard equation. II: Analysis
• L ∞-Energy Method, Basic Tools and Usage
• 3-D viscous Cahn-Hilliard equation with memory
• Nonlocal reaction—diffusion equations and nucleation
• The viscous Cahn-Hilliard equation. I. Computations
• Exponential attractors for a singularly perturbed Cahn‐Hilliard system
• Free Energy of a Nonuniform System. I. Interfacial Free Energy