Non-blow-up phenomenon for the Cahn-Hilliard equation with non-constant mobility

DOI10.1016/j.jmaa.2010.12.028zbMath1228.35065OpenAlexW1972051696MaRDI QIDQ2431207

Jingxue Yin, Liangwei Wang, Rui Huang

Publication date: 11 April 2011

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.2010.12.028

zbMATH Keywords

cubic nonlinearity

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35) Phase transitions (general) in equilibrium statistical mechanics (82B26) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58)

Related Items (4)

A sixth-order phase-field equation with degenerate mobility ⋮ Classical solutions for the Cahn-Hilliard equation with decayed mobility ⋮ Optimal control for the convective Cahn-Hilliard equation in 2D case ⋮ Weak solutions for a sixth-order phase-field equation with degenerate mobility

Cites Work

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• Spectral analysis of planar transition fronts for the Cahn-Hilliard equation
• On the Cahn-Hilliard equation
• On the existence of nonnegative continuous solutions of the Cahn-Hilliard equation
• Coarsening dynamics of the convective Cahn-Hilliard equation
• On the Cahn–Hilliard Equation with Degenerate Mobility
• Free Energy of a Nonuniform System. I. Interfacial Free Energy
• Global attractors for Cahn–Hilliard equations with nonconstant mobility
• Blow-up and global asymptotics of the limit unstable Cahn--Hilliard equation

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