Stability results of a singular local interaction elastic/viscoelastic coupled wave equations with time delay
From MaRDI portal
Publication:2238239
DOI10.3934/cpaa.2021092zbMath1476.93129arXiv2007.08316OpenAlexW3171915020MaRDI QIDQ2238239
Mohammad Akil, Haidar Badawi, Ali Wehbe
Publication date: 1 November 2021
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.08316
time delaystrong stabilityfrequency domain approachpolynomial stabilityKelvin-Voigt dampingcoupled wave equation
Control/observation systems governed by partial differential equations (93C20) Frequency-response methods in control theory (93C80) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Wave equation (35L05)
Related Items
Stability results of locally coupled wave equations with local Kelvin-Voigt damping: cases when the supports of damping and coupling coefficients are disjoint, Energy decay of some boundary coupled systems involving wave Euler-Bernoulli beam with one locally singular fractional Kelvin-Voigt damping, Stability analysis of a Timoshenko beam with local degenerate viscoelastic damping, Stabilization of a coupled wave equation with one localized nonregular fractional Kelvin–Voigt damping with nonsmooth coefficients, On the stability of Bresse system with one discontinuous local internal Kelvin-Voigt damping on the axial force, Stability of piezoelectric beam with magnetic effect under (Coleman or Pipkin)-Gurtin thermal law
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stability of the wave equation with localized Kelvin-Voigt damping and boundary delay feedback
- Asymptotic stability of wave equations coupled by velocities
- Feedback stabilization of a class of evolution equations with delay
- A note on stabilization of locally damped wave equations with time delay
- Stability of elastic transmission systems with a local Kelvin-Voigt damping
- Feedback boundary stabilization of wave equations with interior delay
- Indirect internal stabilization of weakly coupled evolution equations
- A transmission problem of a system of weakly coupled wave equations with Kelvin-Voigt dampings and non-smooth coefficient at the interface
- Optimal polynomial decay of functions and operator semigroups
- Non-uniform stability for bounded semi-groups on Banach spaces
- Ill-posed problems in thermomechanics
- Stabilization of coupled systems
- Semigroups of linear operators and applications to partial differential equations
- Two questions concerning the boundary control of certain elastic systems
- Perturbation theory for linear operators.
- Polynomial decay and control of a 1D hyperbolic-parabolic coupled system
- Stability results of an elastic/viscoelastic transmission problem of locally coupled waves with non smooth coefficients
- Optimal indirect stability of a weakly damped elastic abstract system of second order equations coupled by velocities
- Stability for coupled waves with locally disturbed Kelvin-Voigt damping
- Decay rate of the Timoshenko system with one boundary damping
- A general framework for the study of indirect damping mechanisms in elastic systems
- Characterization of polynomial decay rate for the solution of linear evolution equation
- Frequency domain approach for the polynomial stability of a system of partially damped wave equations
- Well posedness and exponential stability in a wave equation with a strong damping and a strong delay
- Energy decay estimates of elastic transmission wave/beam systems with a local Kelvin–Voigt damping
- Wave Equation Stabilization by Delays Equal to Even Multiples of the Wave Propagation Time
- Frictional versus Kelvin-Voigt damping in a transmission problem
- Boundary feedback stabilization by time delay for one-dimensional wave equations
- Stability of a String with Local Kelvin--Voigt Damping and Nonsmooth Coefficient at Interface
- Stabilization of wave systems with input delay in the boundary control
- Stability and Instability Results of the Wave Equation with a Delay Term in the Boundary or Internal Feedbacks
- An Example on the Effect of Time Delays in Boundary Feedback Stabilization of Wave Equations
- Not All Feedback Stabilized Hyperbolic Systems are Robust with Respect to Small Time Delays in Their Feedbacks
- On the Mathematical Model for Linear Elastic Systems with Analytic Damping
- Tauberian Theorems and Stability of One-Parameter Semigroups
- Spectrum and Stability for Elastic Systems with Global or Local Kelvin--Voigt Damping
- Stabilisation frontière indirecte de systèmes faiblement couplés
- Two examples of ill-posedness with respect to time delays revisited
- Stability to localized viscoelastic transmission problem
- Stability results of a distributed problem involving Bresse system with history and/or Cattaneo law under fully Dirichlet or mixed boundary conditions
- Stability and exact controllability of a Timoshenko system with only one fractional damping on the boundary
- On a Kelvin--Voigt Viscoelastic Wave Equation with Strong Delay
- The asymptotic behavior of the linear transmission problem in viscoelasticity
- The Lack of Exponential Stability in Certain Transmission Problems with Localized Kelvin--Voigt Dissipation
- Stability of an abstract-wave equation with delay and a Kelvin–Voigt damping