Long-time dynamics of a plate equation with memory and time delay
DOI10.1007/s00574-017-0060-xzbMath1400.35034OpenAlexW2769060731MaRDI QIDQ1670517
Publication date: 5 September 2018
Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00574-017-0060-x
Attractors (35B41) Plates (74K20) Asymptotic stability in control theory (93D20) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Integro-partial differential equations (35R09) Higher-order semilinear hyperbolic equations (35L76) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74Dxx)
Related Items (6)
Cites Work
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- On a class of nonlinear viscoelastic Kirchhoff plates: well-posedness and general decay rates
- Long-time dynamics of an extensible plate equation with thermal memory
- Attractors for weakly damped beam equations with \(p\)-Laplacian
- Dynamics of quasi-stable dissipative systems
- Long time behavior for a wave equation with time delay
- Global attractor for a model of extensible beam with nonlinear damping and source terms
- Existence of smooth global attractors for nonlinear viscoelastic equations with memory
- Exponential decay of the viscoelastic Euler-Bernoulli equation with a nonlocal dissipation in general domains.
- Existence, uniqueness of weak solutions and global attractors for a class of nonlinear 2D Kirchhoff-Boussinesq models
- Infinite-dimensional dynamical systems in mechanics and physics
- Asymptotic behavior of a semilinear problem in heat conduction with memory
- Decay rates for viscoelastic plates with memory
- Existence and uniform decay for the Euler-Bernoulli viscoelastic equation with nonlocal boundary dissipation
- Global well-posedness and stability for a viscoelastic plate equation with a time delay
- On an extensible beam equation with nonlinear damping and source terms
- Decay rate estimates for a weak viscoelastic beam equation with time-varying delay
- Exponential stability of abstract evolution equations with time delay
- Existence and energy decay of solutions for the Euler-Bernoulli viscoelastic equation with a delay
- Well-posedness and exponential stability for a plate equation with time-varying delay and past history
- On the general decay of a nonlinear viscoelastic plate equation with a strong damping and \(\vec{p}(x,t)\)-Laplacian
- Global attractors for the plate equation with a localized damping and a critical exponent in an unbounded domain
- Long-time behavior of a class of thermoelastic plates with nonlinear strain
- Asymptotic stability in viscoelasticity
- Boundary stabilization for a non-linear beam on elastic bearings
- On a viscoelastic plate equation with history setting and perturbation of p-Laplacian type
- On Global Attractor for 2D Kirchhoff-Boussinesq Model with Supercritical Nonlinearity
- Uniform attractor for non-autonomous extensible beam equation
- Exponential stability for a plate equation with p-Laplacian and memory terms
- Long-time behavior of second order evolution equations with nonlinear damping
- Von Karman Evolution Equations
- Longtime behavior for a nonlinear wave equation arising in elasto‐plastic flow
- The Effect of Microstructure on Elastic-Plastic Models
- A Weakly Nonlinear Analysis of Elasto-plastic-Microstructure Models
- Uniform attractors for a nonautonomous extensible plate equation with a strong damping
- Finite-dimensional attractors for the Kirchhoff models
- Long-time dynamics for a class of Kirchhoff models with memory
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