Long-time dynamics of a von Karman equation with time delay

DOI10.1016/j.aml.2017.07.004zbMath1377.35032OpenAlexW2739975288MaRDI QIDQ1680792

Sun Hye Park

Publication date: 16 November 2017

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2017.07.004

zbMATH Keywords

energy functionals

Mathematics Subject Classification ID

Attractors (35B41) Plates (74K20) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Higher-order semilinear hyperbolic equations (35L76)

Related Items (6)

Blowup for nonlinearly damped viscoelastic equations with logarithmic source and delay terms ⋮ Blow‐up for a Von Karman equation with nonlinear dissipation, logarithmic source, and acoustic boundary conditions ⋮ Well‐posedness and dynamics for the von Karman equation with memory and nonlinear time‐varying delay ⋮ Existence of pullback attractors for the non-autonomous suspension bridge equation with time delay ⋮ Uniform attractors for the non-autonomous suspension bridge equation with time delay ⋮ Long time behavior and global dynamics of simplified Von Karman plate without rotational inertia driven by white noise

Cites Work

• Unnamed Item
• Nonlinear elastic plate in a flow of gas: recent results and conjectures
• Quasi-stability and exponential attractors for a non-gradient system -- applications to piston-theoretic plates with internal damping
• Asymptotic behavior for a viscoelastic wave equation with a delay term
• General decay to a von Kármán system with memory
• Finite dimensionality of the global attractors for von Karman equations with nonlinear interior dissipation
• Uniform decay of weak solutions to a von Kármán plate with nonlinear boundary dissipation
• Global existence, uniqueness and regularity of solutions to a von Kármán system with nonlinear boundary dissipation
• Existence and energy decay of solutions for the Euler-Bernoulli viscoelastic equation with a delay
• Global attractors for von Kármán equations with nonlinear interior dissipation
• Asymptotic behavior of second sound thermoelasticity with internal time-varying delay
• Attractors for a von Karman equation with memory
• Energy decay for a von Karman equation with time-varying delay
• Attractors for Delayed, Nonrotational von Karman Plates with Applications to Flow-Structure Interactions Without any Damping
• Long-time dynamics for a nonlinear Timoshenko system with delay
• Uniform decay for a von Karman plate equation with a boundary memory condition
• Von Karman Evolution Equations
• Stability and Instability Results of the Wave Equation with a Delay Term in the Boundary or Internal Feedbacks

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