Polynomial and exponential decay rates of a laminated beam system with thermodiffusion effects

DOI10.1016/j.jmaa.2022.126633OpenAlexW4294167739MaRDI QIDQ2079572

Yanyan Li

Publication date: 30 September 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.2022.126633

zbMATH Keywords

exponential decaypolynomial decaylaminated beamsthermo-diffusion effects

Mathematics Subject Classification ID

Thermal effects in solid mechanics (74F05) Stability of dynamical problems in solid mechanics (74H55) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40) PDEs in connection with mechanics of deformable solids (35Q74) Initial-boundary value problems for mixed-type systems of PDEs (35M33)

Related Items (4)

Well-posedness and polynomial energy decay rate of a transmission problem for Rayleigh beam model with heat conduction ⋮ Asymptotic behavior of the porous elastic system with dual phase lag model: Classical versus second spectrum perspectives ⋮ Uniform stability of a thermodiffusion Timoshenko beam ⋮ A finite element scheme for a 2D-wave equation with dynamical boundary control

Cites Work

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• Stabilization of a laminated beam with interfacial slip by boundary controls
• Exponential stabilization of a structure with interfacial slip
• Exponential stability for a structure with interfacial slip and frictional damping
• Semigroups of linear operators and applications to partial differential equations
• Dynamics of laminated Timoshenko beams
• On the stabilization of viscoelastic laminated beams with interfacial slip
• Laminated Timoshenko beams with viscoelastic damping
• A dynamic contact problem for a thermoelastic diffusion beam with the rotational inertia
• Global existence and numerical simulations for a thermoelastic diffusion problem in moving boundary
• Boundary stabilization of a thermoelastic diffusion system of type II.
• Exponential stabilization of a Timoshenko system with thermodiffusion effects
• On the stability of a thermoelastic laminated beam
• Analyticity of solutions to thermoviscoelastic diffusion mixtures problem in higher dimension
• Stabilization of a thermoelastic laminated beam with past history
• Existence, stability and numerical results for a Timoshenko beam with thermodiffusion effects
• Uniform stability of a laminated beam with structural damping and second sound
• Easy test for stability of laminated beams with structural damping and boundary feedback controls
• Uniform stability of a laminated beam with structural memory
• A new stabilization scenario for Timoshenko systems with thermo-diffusion effects in second spectrum perspective
• Lack of Exponential Decay for a Laminated Beam with Structural Damping and Second Sound
• Exponential Stabilization ofLaminated Beams with Structural Damping and Boundary Feedback Controls
• Boundary control of laminated beams with interfacial slip
• Well‐posedness and asymptotic stability to a laminated beam in thermoelasticity of type III
• Memory-type boundary control of a laminated Timoshenko beam
• Properties of global and exponential attractors for nonlinear thermo-diffusion Timoshenko system
• Well‐posedness and exponential decay for laminated Timoshenko beams with time delays and boundary feedbacks

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