On the stability of Bresse system with one discontinuous local internal Kelvin-Voigt damping on the axial force
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Publication:2031401
DOI10.1007/s00033-021-01558-yzbMath1467.93257arXiv2012.08219OpenAlexW3165254454MaRDI QIDQ2031401
Mohammad Akil, Serge Nicaise, Ali Wehbe, Haidar Badawi
Publication date: 9 June 2021
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.08219
Frequency-response methods in control theory (93C80) Asymptotic stability in control theory (93D20) 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, New general decay results for a multi-dimensional Bresse system with viscoelastic boundary conditions, 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, Polynomial stability of a transmission problem involving Timoshenko systems with fractional Kelvin–Voigt damping, Stabilization of the generalized Rao‐Nakra beam by partial viscous damping, Unnamed Item, The influence of the physical coefficients of a Bresse system with one singular local viscous damping in the longitudinal displacement on its stabilization
Cites Work
- Unnamed Item
- The optimal decay rate for a weak dissipative Bresse system
- Weakly locally internal stabilization of elastic Bresse system
- Stability of elastic transmission systems with a local Kelvin-Voigt damping
- Stability to weak dissipative Bresse system
- 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
- Energy decay rate of the thermoelastic Bresse system
- Non-uniform stability for bounded semi-groups on Banach spaces
- Semigroups of linear operators and applications to partial differential equations
- Modeling, analysis and control of dynamic elastic multi-link structures
- Stability of thermoelastic Bresse systems
- Perturbation theory for linear operators.
- Stability results of an elastic/viscoelastic transmission problem of locally coupled waves with non smooth coefficients
- On the stabilization of the Bresse beam with Kelvin-Voigt damping
- A transmission problem for the Timoshenko system with one local Kelvin-Voigt damping and non-smooth coefficient at the interface
- Stability results of a singular local interaction elastic/viscoelastic coupled wave equations with time delay
- Asymptotic stability of Bresse system with one infinite memory in the longitudinal displacements
- Stabilization of the wave equations with localized Kelvin-Voigt type damping under optimal geometric conditions
- Characterization of polynomial decay rate for the solution of linear evolution equation
- Polynomial stability of the Timoshenko system by one boundary damping
- Energy decay estimates of elastic transmission wave/beam systems with a local Kelvin–Voigt damping
- Rates of decay to weak thermoelastic Bresse system
- Frictional versus Kelvin-Voigt damping in a transmission problem
- 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
- 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
- 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
- Optimal polynomial stability of a string with locally distributed Kelvin–Voigt damping and nonsmooth coefficient at the interface
- Stability results for an elastic–viscoelastic wave equation with localized Kelvin–Voigt damping and with an internal or boundary time delay
- Stability conditions to Bresse systems with indefinite memory dissipation
- On the exponential and polynomial stability for a linear Bresse system
- Stability and exact controllability of a Timoshenko system with only one fractional damping on the boundary
- Exponential and polynomial stability of an elastic Bresse system with two locally distributed feedbacks
- Bresse system with infinite memories
- 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 results of some distributed systems involving Mindlin‐Timoshenko plates in the plane
