Stability of N-D transmission problem in viscoelasticity with localized Kelvin-Voigt damping under different types of geometric conditions
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Publication:2070550
DOI10.3934/mcrf.2020050zbMath1481.35041OpenAlexW3111370206MaRDI QIDQ2070550
Ali Wehbe, Nahla Noun, Rayan Nasser
Publication date: 24 January 2022
Published in: Mathematical Control and Related Fields (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/mcrf.2020050
Control/observation systems governed by partial differential equations (93C20) Feedback control (93B52) Initial-boundary value problems for second-order hyperbolic equations (35L20) Stability in context of PDEs (35B35)
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A N-dimensional elastic\(\backslash\)viscoelastic transmission problem with Kelvin-Voigt damping and non smooth coefficient at the interface, Stabilization for Wave Equation with Localized Kelvin–Voigt Damping on Cuboidal Domain: A Degenerate Case
Cites Work
- Stability of the wave equation with localized Kelvin-Voigt damping and boundary delay feedback
- A constructive method for the stabilization of the wave equation with localized Kelvin-Voigt damping
- Exponential stability of an elastic string with local Kelvin-Voigt damping
- 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
- Exponential decay of energy of vibrating strings with local viscoelasticity
- Polynomial decay of an elastic/viscoelastic waves interaction system
- Stabilization for the wave equation with singular Kelvin-Voigt damping
- Optimal decay rate for the wave equation on a square with constant damping on a strip
- On the lack of exponential stability for an elastic-viscoelastic waves interaction system
- 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
- Exponential stability for the wave equations with local Kelvin-Voigt damping
- Eventual differentiability of a string with local Kelvin–Voigt damping
- On Carleman estimates for elliptic and parabolic operators. Applications to unique continuation and control of parabolic equations
- Stability of a String with Local Kelvin--Voigt Damping and Nonsmooth Coefficient at Interface
- On the Spectrum of C 0 -Semigroups
- On the Mathematical Model for Linear Elastic Systems with Analytic Damping
- Tauberian Theorems and Stability of One-Parameter Semigroups
- Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
- Spectrum and Stability for Elastic Systems with Global or Local Kelvin--Voigt Damping
- Locally Distributed Control and Damping for the Conservative Systems
- Exponential Decay of Energy of the Euler--Bernoulli Beam with Locally Distributed Kelvin--Voigt Damping
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