Stabilization of some elastodynamic systems with localized Kelvin-Voigt damping
From MaRDI portal
Publication:727427
DOI10.3934/dcds.2016110zbMath1350.93072OpenAlexW2532281459MaRDI QIDQ727427
Publication date: 6 December 2016
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2016110
Stabilization of systems by feedback (93D15) Wave equation (35L05) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40) Linear waves in solid mechanics (74J05)
Related Items (17)
Uniform stabilization for a strongly coupled semilinear/linear system ⋮ Stability results of locally coupled wave equations with local Kelvin-Voigt damping: cases when the supports of damping and coupling coefficients are disjoint ⋮ Exponential decay for the semilinear wave equation with localized frictional and Kelvin–Voigt dissipating mechanisms ⋮ Uniform stabilization of the Klein-Gordon system ⋮ Decay for the Kelvin–Voigt damped wave equation: Piecewise smooth damping ⋮ Stabilization for vibrating plate with singular structural damping ⋮ Stabilization for Wave Equation with Localized Kelvin–Voigt Damping on Cuboidal Domain: A Degenerate Case ⋮ Stability for Euler-Bernoulli beam equation with a local degenerated Kelvin-Voigt damping ⋮ Decays for Kelvin--Voigt Damped Wave Equations I: The Black Box Perturbative Method ⋮ Stability of a star-shaped network with local Kelvin-Voigt damping and non-smooth coefficient at interface ⋮ Stabilization of transmission system of Kirchhoff plate and wave equations with a localized Kelvin-Voigt damping ⋮ Simultaneous and indirect control of waves: Some recent developments and open problems ⋮ Fractional-feedback stabilization for a class of evolution systems ⋮ Stabilization of the wave equation with a localized nonlinear strong damping ⋮ Optimal decay rates for partially dissipative plates with rotational inertia ⋮ Gevrey Class of Locally Dissipative Euler--Bernoulli Beam Equation ⋮ Sharp Decay Estimates for Semigroups Associated with Some One-Dimensional Fluid-Structure Interactions Involving Degeneracy
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A constructive method for the stabilization of the wave equation with localized Kelvin-Voigt damping
- On the stabilization of dynamic elasticity equations with unbounded locally distributed dissipation
- Exponential stability of an elastic string with local Kelvin-Voigt damping
- Simultaneous observability and stabilization of some uncoupled wave equations
- Stabilization of trajectories for some weakly damped hyperbolic equations
- Decay of solutions of wave equations in a bounded region with boundary dissipation
- 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
- Optimal polynomial decay of functions and operator semigroups
- Non-uniform stability for bounded semi-groups on Banach spaces
- Semigroups of linear operators and applications to partial differential equations
- A direct method for the boundary stabilization of the wave equation
- Exponential decay for the semilinear wave equation with localized damping in unbounded domains
- Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping
- On the nonlinear boundary stabilization of the wave equation
- Stabilization of the wave equation with localized nonlinear damping
- Inverse/observability estimates for second-order hyperbolic equations with variable coefficients
- Exponential stability for the wave equations with local Kelvin-Voigt damping.
- Strong unique continuation for the Lamé system with Lipschitz coefficients
- Decay rates for the three-dimensional linear system of thermoelasticity
- Decay of solutions of the wave equation with a local degenerate dissipation
- Stabilization of the total energy for a system of elasticity with localized dissipation
- The unique continuation property of an elliptic system. The Lamé system
- Decay of solutions of the wave equation with a local nonlinear dissipation
- Imperfect geometric control and overdamping for the damped wave equation
- Characterization of polynomial decay rate for the solution of linear evolution equation
- Exponential stability for the wave equations with local Kelvin-Voigt damping
- Energy decay rates for the semilinear wave equation with nonlinear localized damping and source terms
- A direct method for the stabilization of some locally damped semilinear wave equations
- Stabilization of the elastodynamic equations with a degenerate locally distributed dissipation
- STRONG UNIQUE CONTINUATION FOR THE LAMÉ SYSTEM OF ELASTICITY1*
- Sharp Decay Rates for the Weakly Coupled Hyperbolic System with One Internal Damping
- On localized Kelvin-Voigt damping
- Strong unique continuation for the Lamé system with Lipschitz coefficients in three dimensions
- Exponential Decay for The Semilinear Wave Equation with Locally Distributed Damping
- Boundary Stabilization of Linear Elastodynamic Systems
- Uniform asymptotic energy estimates for solutions of the equations of dynamic plane elasticity with nonlinear dissipation at the boundary
- Exponential Decay of Energy of Evolution Equations with Locally Distributed Damping
- Polynomial stability of operator semigroups
- Weak asymptotic decay via a “relaxed invariance principle” for a wave equation with nonlinear, non-monotone damping
- A Carleman estimates based approach for the stabilization of some locally damped semilinear hyperbolic equations
- On the Spectrum of C 0 -Semigroups
- Tauberian Theorems and Stability of One-Parameter Semigroups
- Lack of Uniform Stabilization for Noncontractive Semigroups Under Compact Perturbation
- Rapid Boundary Stabilization of the Wave Equation
- Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
- Controllability and Stabilizability Theory for Linear Partial Differential Equations: Recent Progress and Open Questions
- Control and Stabilization for the Wave Equation in a Bounded Domain
- Well-posedness and energy decay estimates for the damped wave equation with lrlocalizing coefficient
- Boundary Observability, Controllability, and Stabilization of Linear Elastodynamic Systems
- Uniform boundary stabilization of elasticity systems of cubic crystals by nonlinear feedbacks
- Locally Distributed Control and Damping for the Conservative Systems
- Rapid Boundary Stabilization of Linear Distributed Systems
- Estimations d'énergie pour l'équation des ondes avec un amortissement non linéaire localisé
- Exponential Decay of Energy of the Euler--Bernoulli Beam with Locally Distributed Kelvin--Voigt Damping
- Frictional versus Viscoelastic Damping in a Semilinear Wave Equation
- On The Observability Inequalities for Exact Controllability of Wave Equations With Variable Coefficients
- The modeling of piezoceramic patch interactions with shells, plates, and beams
This page was built for publication: Stabilization of some elastodynamic systems with localized Kelvin-Voigt damping