Stability of a Timoshenko system with local Kelvin-Voigt damping

DOI10.1007/S00033-016-0765-5zbMath1406.35058OpenAlexW2570046871MaRDI QIDQ2358971

Qiong Zhang, Xinhong Tian

Publication date: 27 June 2017

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-016-0765-5

zbMATH Keywords

Timoshenko beamexponential stabilityDirichlet boundary conditionspolynomial stability\(C_0\) semigroup

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) One-parameter semigroups and linear evolution equations (47D06) Asymptotic stability in control theory (93D20) Initial-boundary value problems for higher-order hyperbolic systems (35L57)

Related Items (15)

Polynomial stabilization of non-smooth direct/indirect elastic/viscoelastic damping problem involving Bresse system ⋮ Stability and Regularity of Solution to the Timoshenko Beam Equation with Local Kelvin--Voigt Damping ⋮ Existence and new general decay results for a viscoelastic Timoshenko system ⋮ Polynomial stability for a Timoshenko-type system of thermoelasticity with partial Kelvin-Voigt damping ⋮ A new general decay for a transmission problem of viscoelastic Timoshenko systems ⋮ Uniform stability of a thermodiffusion Timoshenko beam ⋮ Stability analysis of a Timoshenko beam with local degenerate viscoelastic damping ⋮ Effects of Kelvin-Voigt damping on the stability of (thermo)elastic Timoshenko system with second sound ⋮ Polynomial stability of a transmission problem involving Timoshenko systems with fractional Kelvin–Voigt damping ⋮ Timoshenko system with fractional operator in the memory and spatial fractional thermal effect ⋮ New decay results for a viscoelastic-type Timoshenko system with infinite memory ⋮ Unnamed Item ⋮ Stability results for a Timoshenko system with a fractional operator in the memory ⋮ Well-posedness and energy decay for some thermoelastic systems of Timoshenko type with Kelvin-Voigt damping ⋮ A transmission problem for the Timoshenko system with one local Kelvin-Voigt damping and non-smooth coefficient at the interface

Cites Work

• Unnamed Item
• Asymptotic limits and stabilization for the 1D nonlinear Mindlin-Timoshenko system
• Exponential stability of an elastic string with local Kelvin-Voigt damping
• The stability number of the Timoshenko system with second sound
• Internal stabilization of a Mindlin-Timoshenko model by interior feedbacks
• Optimal polynomial decay of functions and operator semigroups
• On the stability of damped Timoshenko systems: Cattaneo versus Fourier law
• Semigroups of linear operators and applications to partial differential equations
• Weighted Hardy inequality
• Uniform decay rates for the energy of Timoshenko system with the arbitrary speeds of propagation and localized nonlinear damping
• Stability to 1-D thermoelastic Timoshenko beam acting on shear force
• A localized nonstandard stabilizer for the Timoshenko beam
• Asymptotic behavior for Timoshenko beams subject to a single nonlinear feedback control
• Characterization of polynomial decay rate for the solution of linear evolution equation
• Polynomial stability of the Timoshenko system by one boundary damping
• Stability for the Timoshenko beam system with local Kelvin-Voigt damping
• Eventual differentiability of a string with local Kelvin–Voigt damping
• On localized Kelvin-Voigt damping
• Stability of a String with Local Kelvin--Voigt Damping and Nonsmooth Coefficient at Interface
• Stabilization of the uniform Timoshenko beam by one locally distributed feedback
• General energy decay estimates of Timoshenko systems with frictional versus viscoelastic damping
• On the Spectrum of C 0 -Semigroups
• Boundary Control of the Timoshenko Beam
• On the Mathematical Model for Linear Elastic Systems with Analytic Damping
• Spectrum and Stability for Elastic Systems with Global or Local Kelvin--Voigt Damping
• Exponential Decay of Energy of the Euler--Bernoulli Beam with Locally Distributed Kelvin--Voigt Damping

This page was built for publication: Stability of a Timoshenko system with local Kelvin-Voigt damping