Attractors and their continuity for an extensible beam equation with rotational inertia and nonlocal energy damping
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Publication:2122179
DOI10.1016/j.jmaa.2022.126148zbMath1486.35067OpenAlexW4221080930MaRDI QIDQ2122179
Publication date: 6 April 2022
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.126148
global attractorexponential attractorextensible beam equationrotational inertiacontinuity of the attractorsnonlocal energy damping
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Attractors (35B41) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Higher-order semilinear hyperbolic equations (35L76)
Related Items (4)
Stability by polynomial squeezing for a class of energy damping plate models ⋮ Dynamics of a thermoelastic Balakrishnan-Taylor beam model with fractional operators ⋮ Energy Decay for a Type of Plate Equation with Degenerate Energy Damping and Source Term ⋮ Dynamics for a class of energy beam models with non-constant material density
Cites Work
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- Global attractors for nonlinear viscoelastic equations with memory
- Attractors and their properties for a class of nonlocal extensible beams
- Dynamics of quasi-stable dissipative systems
- Exponential attractors for non-autonomous dissipative system
- Weakly dissipative semilinear equations of viscoelasticity
- Exponential decay of the viscoelastic Euler-Bernoulli equation with a nonlocal dissipation in general domains.
- Attractors for Kirchhoff's equation with a nonlinear damping coefficient
- Global and exponential attractors for the singularly perturbed extensible beam
- Compact sets in the space \(L^ p(0,T;B)\)
- Upper semicontinuity of the attractor for a singularly perturbed hyperbolic equation
- Infinite-dimensional dynamical systems in mechanics and physics.
- Continuous dependence of attractors on the shape of domain
- Criteria on the existence and stability of pullback exponential attractors and their application to non-autonomous Kirchhoff wave models
- Continuity of pullback and uniform attractors
- Continuous dependence on a parameter of exponential attractors for chemotaxis-growth system
- Long-time dynamics in plate models with strong nonlinear damping
- On an extensible beam equation with nonlinear damping and source terms
- Rates of decay of a nonlocal beam equation
- Longtime behavior for an extensible beam equation with rotational inertia and structural nonlinear damping
- Stability for extensible beams with a single degenerate nonlocal damping of Balakrishnan-Taylor type
- The global attractor for the wave equation with nonlocal strong damping
- Uniform attractors and their continuity for the non-autonomous Kirchhoff wave models
- Strong attractors and their continuity for the semilinear wave equations with fractional damping
- Robust attractors for a perturbed non-autonomous extensible beam equation with nonlinear nonlocal damping
- Attractors and their stability with respect to rotational inertia for nonlocal extensible beam equations
- On a beam model related to flight structures with nonlocal energy damping
- Long-time behavior for a plate equation with nonlocal weak damping.
- Long-time dynamics for a class of extensible beams with nonlocal nonlinear damping
- Asymptotic analysis and upper semicontinuity with respect to rotational inertia of attractors to von Karman plates with geometrically localized dissipation and critical nonlinearity
- On the continuity of global attractors
- Long-time behavior of second order evolution equations with nonlinear damping
- A Cantilevered Extensible Beam in Axial Flow: Semigroup Well-posedness and Postflutter Regimes
- GLOBAL EXISTENCE AND ASYMPTOTIC STABILITY FOR THE NONLINEAR AND GENERALIZED DAMPED EXTENSIBLE PLATE EQUATION
- Long-time behavior for a class of extensible beams with nonlocal weak damping and critical nonlinearity
- Attractors Under Autonomous and Non-autonomous Perturbations
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