Infinite-dimensional exponential attractors for fourth-order nonlinear parabolic equations in unbounded domains

DOI10.1002/mma.1412zbMath1218.35044OpenAlexW2010418243MaRDI QIDQ3004179

Messoud A. Efendiev

Publication date: 31 May 2011

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

Full work available at URL: https://doi.org/10.1002/mma.1412

zbMATH Keywords

Kolmogorov's entropyextended Fisher-Kolmogorov equationsSwift-Hohenberg equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Dynamical systems in biology (37N25) A priori estimates in context of PDEs (35B45) Initial value problems for higher-order parabolic equations (35K30) Semilinear parabolic equations (35K58)

Related Items (4)

Dissipative mechanism and global attractor for modified Swift-Hohenberg equation in $R^{N}$ ⋮ Exponential attractors for modified Swift-Hohenberg equation in \(\mathbb{R}^N\). ⋮ Long-time behavior for a class of weighted equations with degeneracy ⋮ On Fractal Dimension of Global and Exponential Attractors for Dissipative Higher Order Parabolic Problems in $$\mathbb {R}^N$$ with General Potential

Cites Work

• Unnamed Item
• Unnamed Item
• On the large time behavior of solutions of fourth order parabolic equations and \(\varepsilon\)-entropy of their attractors
• Infinite-dimensional dynamical systems in mechanics and physics
• Extensive properties of the complex Ginzburg-Landau equation
• 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
• Exponential attractors of reaction-diffusion systems in an unbounded domain
• Exponential attractors for a nonlinear reaction-diffusion system in
• The attractor for a nonlinear reaction-diffusion system in an unbounded domain
• Attractors of partial differential evolution equations in an unbounded domain
• Spatial patterns. Higher order models in physics and mechanics

This page was built for publication: Infinite-dimensional exponential attractors for fourth-order nonlinear parabolic equations in unbounded domains