Stabilization of some elastodynamic systems with localized Kelvin-Voigt damping
type: Item
instance of: scholarly article
title: Stabilization of some elastodynamic systems with localized Kelvin-Voigt damping
zbMATH Open document ID: 1350.93072
published in: Discrete and Continuous Dynamical Systems
publication date: 2016-12-06T00:00:00Z
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 74J05
Mathematics Subject Classification ID: 35L05
Mathematics Subject Classification ID: 74H40
zbMATH DE Number: 6661544
zbMATH Keywords: stabilization
zbMATH Keywords: dynamic elasticity equations
zbMATH Keywords: wave equation
zbMATH Keywords: localized dissipation
zbMATH Keywords: Kelvin-Voigt damping
author: Louis Roder Tcheugoué Tébou
MaRDI profile type: Publication
full work available at URL: dcds.2016110
OpenAlex ID: W2532281459
cites work: Boundary Observability, Controllability, and Stabilization of Linear Elastodynamic Systems
cites work: STRONG UNIQUE CONTINUATION FOR THE LAMÉ SYSTEM OF ELASTICITY1*
cites work: Q4386029
cites work: Tauberian Theorems and Stability of One-Parameter Semigroups
cites work: Stabilization of the total energy for a system of elasticity with localized dissipation
cites work: The modeling of piezoceramic patch interactions with shells, plates, and beams
cites work: Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
cites work: Polynomial stability of operator semigroups
cites work: Non-uniform stability for bounded semi-groups on Banach spaces
cites work: Optimal polynomial decay of functions and operator semigroups
cites work: Q4748596
cites work: Q4339596
cites work: Imperfect geometric control and overdamping for the damped wave equation
cites work: Frictional versus Viscoelastic Damping in a Semilinear Wave Equation
cites work: Control and Stabilization for the Wave Equation in a Bounded Domain
cites work: Exponential Decay of Energy of Evolution Equations with Locally Distributed Damping
cites work: Q3964953
cites work: The unique continuation property of an elliptic system. The Lamé system
cites work: Q4053162
cites work: Q4951567
cites work: Sharp decay rates for the weakly coupled hyperbolic system with one internal damping
cites work: Stabilization of trajectories for some weakly damped hyperbolic equations
cites work: Q4729705
cites work: Q3722900
cites work: Rapid Boundary Stabilization of the Wave Equation
cites work: On the nonlinear boundary stabilization of the wave equation
cites work: Q4851730
cites work: Rapid Boundary Stabilization of Linear Distributed Systems
cites work: A direct method for the boundary stabilization of the wave equation
cites work: Decay of solutions of wave equations in a bounded region with boundary dissipation
cites work: Boundary Stabilization of Linear Elastodynamic Systems
cites work: Uniform asymptotic energy estimates for solutions of the equations of dynamic plane elasticity with nonlinear dissipation at the boundary
cites work: Nonlinear boundary feedback stabilization of dynamic elasticity with thermal effects
cites work: Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping
cites work: Energy decay rates for the semilinear wave equation with nonlinear localized damping and source terms
cites work: Inverse/observability estimates for second-order hyperbolic equations with variable coefficients
cites work: Q4879447
cites work: Decay rates for the three-dimensional linear system of thermoelasticity
cites work: Strong unique continuation for the Lamé system with Lipschitz coefficients
cites work: Q4040043
cites work: Locally Distributed Control and Damping for the Conservative Systems
cites work: Exponential Decay of Energy of the Euler--Bernoulli Beam with Locally Distributed Kelvin--Voigt Damping
cites work: Exponential stability for the wave equations with local Kelvin-Voigt damping.
cites work: Exponential stability for the wave equations with local Kelvin-Voigt damping
cites work: Characterization of polynomial decay rate for the solution of linear evolution equation
cites work: Uniform boundary stabilization of elasticity systems of cubic crystals by nonlinear feedbacks
cites work: Q4656862
cites work: Decay of solutions of the wave equation with a local degenerate dissipation
cites work: Decay of solutions of the wave equation with a local nonlinear dissipation
cites work: Semigroups of linear operators and applications to partial differential equations
cites work: On the Spectrum of C 0 -Semigroups
cites work: Q4767648
cites work: On localized Kelvin-Voigt damping
cites work: Controllability and Stabilizability Theory for Linear Partial Differential Equations: Recent Progress and Open Questions
cites work: Weak asymptotic decay via a “relaxed invariance principle” for a wave equation with nonlinear, non-monotone damping
cites work: Estimations d'énergie pour l'équation des ondes avec un amortissement non linéaire localisé
cites work: Stabilization of the wave equation with localized nonlinear damping
cites work: Well-posedness and energy decay estimates for the damped wave equation with lrlocalizing coefficient
cites work: A direct method for the stabilization of some locally damped semilinear wave equations
cites work: Stabilization of the elastodynamic equations with a degenerate locally distributed dissipation

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cites work: On the stabilization of dynamic elasticity equations with unbounded locally distributed dissipation

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cites work: A Carleman estimates based approach for the stabilization of some locally damped semilinear hyperbolic equations

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cites work: A constructive method for the stabilization of the wave equation with localized Kelvin-Voigt damping

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cites work: Simultaneous observability and stabilization of some uncoupled wave equations

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cites work: Optimal decay rates for solutions of a nonlinear wave equation with localized nonlinear dissipation of unrestricted growth and critical exponent source terms under mixed boundary conditions

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cites work: Lack of Uniform Stabilization for Noncontractive Semigroups Under Compact Perturbation

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cites work: On The Observability Inequalities for Exact Controllability of Wave Equations With Variable Coefficients

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cites work: Q3173251

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cites work: Strong unique continuation for the Lamé system with Lipschitz coefficients in three dimensions

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cites work: Exponential stability of an elastic string with local Kelvin-Voigt damping

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cites work: Exponential Decay for The Semilinear Wave Equation with Locally Distributed Damping

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cites work: Exponential decay for the semilinear wave equation with localized damping in unbounded domains

Stabilization of some elastodynamic systems with localized Kelvin-Voigt damping (DOI)
DOI: 10.3934/DCDS.2016110