On the large time behavior of solutions of fourth order parabolic equations and \(\varepsilon\)-entropy of their attractors

DOI10.1016/j.crma.2006.10.028zbMath1109.35019OpenAlexW2021776168MaRDI QIDQ869446

Messoud A. Efendiev, Lambertus A. Peletier

Publication date: 2 March 2007

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2006.10.028

zbMATH Keywords

unbounded domainsSwift-Hohenberg equationextended Fisher-Kolmogorov equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Nonlinear parabolic equations (35K55) Initial value problems for higher-order parabolic equations (35K30)

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Cites Work

• Upper and lower bounds for the Kolmogorov entropy of the attractor for the RDE in an unbounded domain
• Pattern selection of solutions of the Swift--Hohenberg equation
• The attractor for a nonlinear reaction-diffusion system in an unbounded domain
• Spatial patterns. Higher order models in physics and mechanics