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Optimal polynomial decay for a Timoshenko system with a strong damping and a strong delay
Mathematical methods in the applied sciences, 2021In this article, we consider a linear Timoshenko system with a strong damping and a strong constant delay acting on the transverse displacement of the beam.
Hocine Makheloufi +2 more
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General decay for a viscoelastic-type Timoshenko system with thermoelasticity of type III
Applicable Analysis, 2021We consider a one-dimensional thermoelastic Timoshenko system, where the heat conduction is given by Green and Naghdi theories and acting on shear force.
Djellali Fayssal +2 more
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Decay property of Timoshenko system in thermoelasticity
Mathematical Methods in the Applied Sciences, 2011We investigate the decay property of a Timoshenko system of thermoelasticity in the whole space for both Fourier and Cattaneo laws of heat conduction. We point out that although the paradox of infinite propagation speed inherent in the Fourier law is removed by changing to the Cattaneo law, the latter always leads to a solution with the decay property ...
Said-Houari, Belkacem, Kasimov, Aslan R.
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The Timoshenko system with history and Cattaneo law
Applied Mathematics and Computation, 2014In this paper we study a fully hyperbolic thermoelastic Timoshenko system with past history where the thermal effects are given by Cattaneo's law. We obtain exponential stability of solutions if and only if a new condition on the wave speed of propagation is verified. Otherwise, when that condition fails, we obtain polynomial stability of solutions. In
Luci Harue Fatori +2 more
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Decay property of the Timoshenko–Cattaneo system
Analysis and Applications, 2016We study the Timoshenko system with Cattaneo’s type heat conduction in the one-dimensional whole space. We investigate the dissipative structure of the system and derive the optimal [Formula: see text] decay estimate of the solution in a general situation.
Shuichi Kawashima, Naofumi Mori
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Stability to weakly dissipative Timoshenko systems
Mathematical Methods in the Applied Sciences, 2013In this paper, we consider the Timoshenko systems with frictional dissipation working only on the vertical displacement. We prove that the system is exponentially stable if and only if the wave speeds are the same. On the contrary, we show that the Timoshenko systems is polynomially stable giving the optimal decay rate. Copyright © 2013 John Wiley &
J.E. Muñoz Rivera +2 more
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On Modeling and Uniform Stability of a Partially Dissipative Viscoelastic Timoshenko System
SIAM Journal on Mathematical Analysis, 2019In this paper we first explore the deduction of the mathematical model for some viscoelastic Timoshenko systems.
M. O. Alves +3 more
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Asymptotic Analysis, 2019
In this paper, we study the indirect boundary stability and exact controllability of a one-dimensional Timoshenko system. In the first part of the paper, we consider the Timoshenko system with only one boundary fractional damping.
Mohammad Akil +3 more
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In this paper, we study the indirect boundary stability and exact controllability of a one-dimensional Timoshenko system. In the first part of the paper, we consider the Timoshenko system with only one boundary fractional damping.
Mohammad Akil +3 more
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On the control of a viscoelastic damped Timoshenko-type system
Applied Mathematics and Computation, 2008Abstract In this paper we consider the following Timoshenko system φ tt - ( φ x + ψ ) x = 0 , ( 0 , 1 ) × ( 0 , + ∞ ) ψ tt - ψ xx + ∫ 0 t g ( t - τ ) ψ xx ( τ ) d τ + φ x + ψ = 0 , ( 0 , 1 ) × ( 0 ...
Salim A. Messaoudi, Aissa Guesmia
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A numerical algorithm for the nonlinear Timoshenko beam system
Numerical Methods for Partial Differential Equations, 2020AbstractAn initial boundary value problem is considered for the dynamic beam system urn:x-wiley:num:media:num22475:num22475-math-0001Its solution is found by means of an algorithm, the constituent parts of which are the finite element method, the implicit symmetric difference scheme used to approximate the solution with respect to the spatial and time
Jemal Peradze, Zviad Kalichava
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