Energy decay in a Timoshenko-type system of thermoelasticity of type III

DOI10.1016/j.jmaa.2008.07.036zbMath1145.74009OpenAlexW1965520802MaRDI QIDQ947565

Belkacem Said-Houari, Messaoudi A. Salim

Publication date: 6 October 2008

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.2008.07.036

zbMATH Keywords

energy methodexponential stabilityGreen-Naghdi theory

Mathematics Subject Classification ID

Related Items (68)

On a semilinear Timoshenko-Coleman-Gurtin system: quasi-stability and attractors ⋮ Exponential stability in a Timoshenko system of type III ⋮ Global existence and stability results for a nonlinear Timoshenko system of thermoelasticity of type III with delay ⋮ Issues related to the second spectrum, Ostrogradsky's energy and the stabilization of Timoshenko-Ehrenfest-type systems ⋮ Polynomial decay for the Timoshenko system with dynamical boundary conditions ⋮ Existence and general stabilization of the Timoshenko system of thermo-viscoelasticity of type III with frictional damping and delay terms ⋮ On Timoshenko-type systems with type III thermoelasticity: asymptotic behavior ⋮ Exponential stability of a rotating Timoshenko beam under thermo-viscoelastic damping ⋮ Decay estimate and global existence of semilinear thermoelastic Timoshenko system with two damping effects ⋮ Boundary stabilization of a Bresse-type system ⋮ Impact of the damaging consequences of the second spectrum on the stabilization of nonlinear Timoshenko systems ⋮ Energy decay in a Timoshenko-type system of thermoelasticity of type III with different wave-propagation speeds ⋮ Energy decay rate of transmission problem between thermoelasticity of type I and type II ⋮ Longtime dynamics for a novel piezoelectric beam model with creep and thermo-viscoelastic effects ⋮ Exponential stability of a Timoshenko type thermoelastic system with Gurtin-Pipkin thermal law and frictional damping ⋮ Regular global attractors of type III thermoelastic extensible beams ⋮ General energy decay in a Timoshenko-type system of thermoelasticity of type III with a viscoelastic damping ⋮ General decay for a viscoelastic-type Timoshenko system with thermoelasticity of type III ⋮ Asymptotic behavior of weakly dissipative Bresse‐Timoshenko system on influence of the second spectrum of frequency ⋮ Optimal decay rates and global existence for a semilinear Timoshenko system with two damping effects ⋮ Decay of the Timoshenko beam with thermal effect and memory boundary conditions ⋮ Polynomial stability for a Timoshenko-type system of thermoelasticity with partial Kelvin-Voigt damping ⋮ Exponential stability and global attractors for a thermoelastic Bresse system ⋮ General boundary stabilization of memory type in thermoelasticity of type III ⋮ Energy decay analysis for porous elastic system with thermoelasticity of type III: a second spectrum approach ⋮ The lack of exponential stability of the hybrid Bresse system ⋮ Stabilisation of a thermo-elastic system under nonuniformly bounded disturbances in the boundary input ⋮ Stability analysis of a thermo-elastic system of type II with boundary viscoelastic damping ⋮ On the stability of Timoshenko systems with Gurtin-Pipkin thermal law ⋮ About the stability to Timoshenko system with one boundary dissipation ⋮ Energy decay and global attractors for thermoviscoelastic systems ⋮ Well-posedness and stability results in a Timoshenko-type system of thermoelasticity of type III with delay ⋮ A contact problem for a thermoelastic Timoshenko beam ⋮ Exponential stabilization of thermoelastic system of type II with non-uniform bounded disturbance ⋮ Exponential stability of a porous thermoelastic system with Gurtin-Pipkin thermal law ⋮ A general decay result for a memory-type Timoshenko-thermoelasticity system with second sound ⋮ On the nature of dissipative Timoshenko systems at light of the second spectrum of frequency ⋮ A general stability result in a Timoshenko system with infinite memory: A new approach ⋮ Global existence, asymptotic behavior and uniform attractors for non-autonomous thermoelastic systems ⋮ Energy decay result in a Timoshenko-type system of thermoelasticity of type III with distributive delay ⋮ The Timoshenko system with history and Cattaneo law ⋮ Energy decay rates for a Timoshenko-type system of thermoelasticity of type III with constant delay ⋮ Exponential stability for a Timoshenko-type system with history ⋮ Decay rates and global existence for semilinear dissipative Timoshenko systems ⋮ Boundary feedback stabilization of Kirchhoff-type Timoshenko system ⋮ Rates of decay to non homogeneous Timoshenko model with tip body ⋮ The stability number of the Timoshenko system with second sound ⋮ Improvement on the polynomial stability for a Timoshenko system with type III thermoelasticity ⋮ Asymptotic stability of porous-elastic system with thermoelasticity of type III ⋮ Timoshenko system with fractional operator in the memory and spatial fractional thermal effect ⋮ Global existence, asymptotic behavior and uniform attractors for a non-autonomous Timoshenko system of thermoelasticity of type III with a time-varying delay ⋮ The optimal decay rates for viscoelastic Timoshenko type system in the light of the second spectrum of frequency ⋮ Coupled plate equations with indirect damping: smoothing effect, decay properties and approximation ⋮ Unnamed Item ⋮ Strong stabilization of models incorporating the thermoelastic Reissner–Mindlin plate equations with second sound ⋮ Dynamics of a new thermoelastic Timoshenko system with second sound ⋮ Uniform decay in a Timoshenko-type system with past history ⋮ Decay rates for 1-d mixed type II and type III thermoelastic system with localized viscous damping ⋮ Decay property of Timoshenko system in thermoelasticity ⋮ Decay rate estimates for the quasi-linear Timoshenko system with nonlinear control and damping terms ⋮ Polynomial decay rate of a thermoelastic Mindlin-Timoshenko plate model with Dirichlet boundary conditions ⋮ Global existence, asymptotic stability, and uniform attractors for non-autonomous thermoelastic systems with constant time delay ⋮ Stability of Timoshenko system coupled with thermal law of Gurtin-Pipkin affecting on shear force ⋮ Bresse system with infinite memories ⋮ Exponential stability of serially connected thermoelastic system of type II with nodal damping ⋮ Stabilization of a type III thermoelastic Timoshenko system in the presence of a time‐distributed delay ⋮ Exponential-stability and super-stability of a thermoelastic system of type II with boundary damping ⋮ Global existence, asymptotic behavior and uniform attractor for a non-autonomous Timoshenko system of type III with weak damping

Cites Work

• Unnamed Item
• Stabilization of the nonuniform Timoshenko beam
• Boundary feedback stabilization of Timoshenko beam with boundary dissipation
• Complete solutions in the theory of thermoelasticity without energy dissipation
• Thermoelasticity without energy dissipation
• Structural stability and continuous dependence of solutions of thermoelasticity of type III
• A note on the uniqueness of solution in the linear theory of thermoelasticity without energy dissipation
• Energy decay for Timoshenko systems of memory type.
• Global stability for damped Timoshenko systems
• Decay rates for solutions of a Timoshenko system with a memory condition at the boundary
• Convergence and structural stability in thermoelasticity.
• Mildly dissipative nonlinear Timoshenko systems -- global existence and exponential stability.
• Boundary stabilization of solutions of a nonlinear system of Timoshenko type
• On the control of a viscoelastic damped Timoshenko-type system
• Timoshenko systems with indefinite damping
• Exponential stability for the Timoshenko system with two weak dampings
• Stability in thermoelasticity of type III
• Growth and uniqueness in thermoelasticity
• A re-examination of the basic postulates of thermomechanics
• Boundary Control of the Timoshenko Beam
• Stabilisation de la poutre de Timoshenko
• Stabilization of Timoshenko Beam by Means of Pointwise Controls
• DECAY OF SOLUTIONS OF THE SYSTEM OF THERMOELASTICITY OF TYPE III
• Cauchy problems for linear thermoelastic systems of type III in one space variable
• Damping of end effects in a thermoelastic theory
• Instability and non-existence in the nonlinear theory of thermoelasticity without energy dissipation

This page was built for publication: Energy decay in a Timoshenko-type system of thermoelasticity of type III