Stability of strong attractors for the extensible beam equation with gentle dissipation
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Publication:6187182
DOI10.1016/j.jmaa.2023.127999OpenAlexW4389166396MaRDI QIDQ6187182
Yuanyuan Guo, Zhijian Yang, Zhi-Ming Liu
Publication date: 5 February 2024
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.2023.127999
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Attractors (35B41) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Integro-partial differential equations (35R09) Second-order quasilinear hyperbolic equations (35L72)
Cites Work
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- Longtime behavior of the semilinear wave equation with gentle dissipation
- Attractors and their properties for a class of nonlocal extensible beams
- Dynamics of quasi-stable dissipative systems
- Global attractor for a model of extensible beam with nonlinear damping and source terms
- Non-autonomous perturbation of autonomous semilinear differential equations: continuity of local stable and unstable manifolds
- Global and exponential attractors for the singularly perturbed extensible beam
- Proof of extensions of two conjectures on structural damping for elastic systems
- Infinite-dimensional dynamical systems in mechanics and physics
- On a global solution and asymptotic behaviour for the generalized damped extensible beam equation
- Uniform exponential attractors for a singularly perturbed damped wave equation.
- On an extensible beam equation with nonlinear damping and source terms
- Longtime behavior for an extensible beam equation with rotational inertia and structural nonlinear damping
- 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
- Optimal attractors of the Kirchhoff wave model with structural nonlinear damping
- Attractors and their stability with respect to rotational inertia for nonlocal extensible beam equations
- Long-time dynamics for a class of extensible beams with nonlocal nonlinear damping
- Nonlinear vibration of beams and rectangular plates
- Upper semicontinuity of global attractors for a family of semilinear wave equations with gentle dissipation
- Stability theory for an extensible beam
- Decay estimates for the generalized damped extensible string and beam equations
- Global attractor for an extensible beam equation with localized nonlinear damping and linear memory
- Long-time behavior of second order evolution equations with nonlinear damping
- Von Karman Evolution Equations
- A mathematical model for linear elastic systems with structural damping
- GLOBAL EXISTENCE AND ASYMPTOTIC STABILITY FOR THE NONLINEAR AND GENERALIZED DAMPED EXTENSIBLE PLATE EQUATION
- Abstract parabolic problems with critical nonlinearities and applications to Navier-Stokes and heat equations
- Exponential attractors for a singularly perturbed Cahn‐Hilliard system
- Global attractor and inertial set for the beam equation
- Exponential attractors for extensible beam equations
- Concrete characterization of the domains of fractional powers of some elliptic differential operators of the second order
- Gevrey Class Semigroups Arising from Elastic Systems with Gentle Dissipation: The Case 0 < α < ½
