Pullback \(\mathcal D\)-attractors for non-autonomous suspension bridge equations

DOI10.1016/J.NA.2009.03.025zbMath1173.35606OpenAlexW1983575085MaRDI QIDQ838061

Jong Yeoul Park, Jum-Ran Kang

Publication date: 21 August 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.03.025

zbMATH Keywords

two space dimensionspullback \({\mathcal D}\)-condition

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) PDEs in connection with fluid mechanics (35Q35) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Higher-order nonlinear hyperbolic equations (35L75)

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Cites Work

• Existence of global attractors for the coupled system of suspension bridge equations
• On the dynamics of a class of nonclassical parabolic equations
• Existence of strong solutions and global attractors for the suspension bridge equations
• Infinite-dimensional dynamical systems in mechanics and physics.
• Random attractors
• Nonautonomous systems, cocycle attractors and variable time-step discretization
• Pullback \(\mathcal D\)-attractors for nonautonomous sine-Gordon equations
• Pullback attractors for asymptotically compact non-autonomous dynamical systems
• Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis
• Unnamed Item
• Unnamed Item

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