Global attractor for a nonlinear model with periodic boundary value condition

DOI10.4171/PM/1915zbMath1262.35055OpenAlexW2071999850MaRDI QIDQ692860

Xiaopeng Zhao, Chein-Shan Liu

Publication date: 6 December 2012

Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/pm/1915

zbMATH Keywords

absorbing setregularity estimatesgrowing of a crystal surface

Mathematics Subject Classification ID

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

Related Items (6)

Finite difference discretization of a fourth-order parabolic equation describing crystal surface growth ⋮ Some properties of solutions for a parabolic equation modeling epitaxial thin film growth ⋮ Optimal control problem for the BCF model describing crystal surface growth ⋮ Optimal control for a higher-order nonlinear parabolic equation describing crystal surface growth ⋮ Global dynamics of a fourth-order parabolic equation describing crystal surface growth ⋮ FINITE ELEMENT METHOD FOR A NONLINEAR DIFFERENTIAL EQUATION DESCRIBING CRYSTAL SURFACE GROWTH

Cites Work

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• On the longtime behavior of solutions to a model for epitaxial growth
• Global attractor of the Cahn-Hilliard equation in \(H^k\) spaces
• Infinite-dimensional dynamical systems in mechanics and physics.
• THE EXISTENCE OF GLOBAL ATTRACTOR FOR CONVECTIVE CAHN-HILLIARD EQUATION
• The existence of global attractor for a fourth-order parabolic equation

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