Uniform attractor for non-autonomous suspension bridge equations with localized damping

DOI10.1002/MMA.1376zbMath1213.35123OpenAlexW2073586604MaRDI QIDQ3081400

Jong Yeoul Park, Jum-Ran Kang

Publication date: 8 March 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.1376

zbMATH Keywords

uniform attractortwo space dimensionsnon-autonomouslocalized dampingsuspension bridge equations

Mathematics Subject Classification ID

Attractors (35B41) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Higher-order semilinear hyperbolic equations (35L76)

Related Items (8)

Existence of random attractors for the floating beam equation with strong damping and white noise ⋮ Random attractors for the stochastic coupled suspension bridge equations of Kirchhoff type ⋮ Upper semicontinuity of random attractor for a Kirchhoff type suspension bridge equation with strong damping and white noise ⋮ Uniform attractors for non-autonomous Brinkman-Forchheimer equations with delay ⋮ Unnamed Item ⋮ Random attractors for the coupled suspension bridge equations with white noises ⋮ Random attractors for the extensible suspension bridge equation with white noise ⋮ Random exponential attractor for stochastic non-autonomous suspension bridge equation with additive white noise

Cites Work

• Unnamed Item
• Existence of global attractors for the coupled system of suspension bridge equations
• Pullback \(\mathcal D\)-attractors for non-autonomous suspension bridge equations
• Global attractors for wave equations with nonlinear interior damping and critical exponents
• Long-time dynamics of von Karmán semi-flows with nonlinear boundary/interior damping
• Existence of strong solutions and global attractors for the suspension bridge equations
• Uniform attractors for non-autonomous \(p\)-Laplacian equations
• Asymptotic regularity of solutions of a nonautonomous damped wave equation with a critical growth exponent
• Attractors for second-order evolution equations with a nonlinear damping
• Global attractor for plate equation with nonlinear damping
• Uniform attractor for non-autonomous plate equation with a localized damping and a critical nonlinearity
• Global attractors for the plate equation with a localized damping and a critical exponent in an unbounded domain
• Exponential Decay for The Semilinear Wave Equation with Locally Distributed Damping
• Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis

This page was built for publication: Uniform attractor for non-autonomous suspension bridge equations with localized damping