The existence of global attractor for a fourth-order parabolic equation

DOI10.1080/00036811.2011.590476zbMath1270.35125OpenAlexW2070450171WikidataQ58254918 ScholiaQ58254918MaRDI QIDQ4908180

Chein-Shan Liu, Xiaopeng Zhao

Publication date: 4 March 2013

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2011.590476

zbMATH Keywords

fourth-order parabolic equation\(\omega\)-limit setabsorbing set

Mathematics Subject Classification ID

Attractors (35B41) Initial-boundary value problems for higher-order parabolic equations (35K35) Quasilinear parabolic equations (35K59)

Related Items (9)

Asymptotic estimate of weak solutions in a fourth-order parabolic equation with logarithm ⋮ Finite element analysis of a nonlinear parabolic equation modeling epitaxial thin-film growth ⋮ Asymptotic Behavior of Solutions for a Fourth Order Parabolic Equation with Gradient Nonlinearity via the Galerkin Method ⋮ Time-periodic solution of a 2D fourth-order nonlinear parabolic equation ⋮ Global attractor for a nonlinear model with periodic boundary value condition ⋮ Lower bound of blow-up time to a fourth order parabolic equation modeling epitaxial thin film growth ⋮ Some properties of solutions for a parabolic equation modeling epitaxial thin film growth ⋮ Solutions for a fourth-order nonlinear parabolic equation describing Marangoni convection ⋮ Global well-posedness of solutions for the epitaxy thin film growth model

Cites Work

• The existence of global attractors for semilinear parabolic equation in \(H^k\) spaces
• Global attractor of the Cahn-Hilliard equation in \(H^k\) spaces
• Global attractor of a modified Swift-Hohenberg equation in \(H^k\) spaces
• Global attractor for the Cahn-Hilliard system with fast growing nonlinearity
• Global attractor for the Cahn-Hilliard equation in \(H^ 2\) and \(H^ 3\)
• A fourth-order parabolic equation modeling epitaxial thin film growth
• On Berni's interpolation inequalities in multiple space dimensions
• A fourth order parabolic equation with nonlinear principal part
• 3D convective Cahn-Hilliard equation
• Global Attractor for the Convective Cahn–Hilliard Equation
• Asymptotic behavior of solution to the Cahn-Hillard equation
• Global attractor for the Cahn-Hilliard system
• Upper bound on the coarsening rate for an epitaxial growth model

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