Some properties of solutions for a fourth‐order parabolic equation

DOI10.1002/mma.2579zbMath1259.35043OpenAlexW2031869698MaRDI QIDQ4907181

Chein-Shan Liu, Xiaopeng Zhao, Min Zhang

Publication date: 31 January 2013

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2579

zbMATH Keywords

regularityexistenceglobal attractorone spatial dimensionLeray-Schauder's fixed point theorem

Mathematics Subject Classification ID

Attractors (35B41) Initial-boundary value problems for higher-order parabolic equations (35K35) Thin fluid films (76A20) Quasilinear parabolic equations (35K59)

Related Items (1)

Global well-posedness of solutions for the epitaxy thin film growth model

Cites Work

• Unnamed Item
• Infinite-dimensional dynamical systems in mechanics and physics
• Global attractor for the Cahn-Hilliard equation in \(H^ 2\) and \(H^ 3\)
• A fourth-order parabolic equation modeling epitaxial thin film growth
• Regularity of solutions for a fourth order parabolic equation
• A fourth order parabolic equation with nonlinear principal part
• Upper bound on the coarsening rate for an epitaxial growth model
• Blow-up similarity solutions of the fourth-order unstable thin film equation

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