Existence and blow-up of solutions of a fourth-order nonlinear diffusion equation

DOI10.1016/J.NONRWA.2007.08.006zbMath1156.35406OpenAlexW2023494835MaRDI QIDQ1007759

Jingxue Yin, Chunhua Jin, Li Yin

Publication date: 24 March 2009

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2007.08.006

zbMATH Keywords

existenceerror estimatesfinite elementblow-upfourth-order equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Related Items (3)

One-dimensional viscous diffusion equation of higher order with gradient dependent potentials and sources ⋮ Global existence of solutions for a viscous Cahn-Hilliard equation with gradient dependent potentials and sources ⋮ A Cahn-Hilliard type equation with periodic gradient-dependent potentials and sources

Cites Work

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• On the Cahn-Hilliard equation
• Two generalizations of the thin film equation
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• Thin-film flows near isolated humps and interior corners
• Finite-time blow-up of solutions of some long-wave unstable thin film equations
• Symmetric Singularity Formation in Lubrication-Type Equations for Interface Motion
• Free Energy of a Nonuniform System. I. Interfacial Free Energy
• Anomalous scaling for three‐dimensional Cahn‐Hilliard fronts

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