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Stabilization of a new memory-type thermoelastic Timoshenko system
Applicable Analysis, 2022This paper investigates the asymptotic stability of a new coupling to a thermoelastic Timoshenko-type system with memory. The memory term acts on the shear force in the evolution equations.
C. Enyi, S. E. Mukiawa, T. Apalara
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Smooth dynamics of a Timoshenko system with hybrid dissipation
Asymptotic Analysis, 2022In this paper we study the longtime dynamics of a class of thermoelastic Timoshenko beams with history in a nonlinear elastic foundation. Our main result establishes the existence of a global attractor with finite fractal dimension without requiring the ...
Yuming Qin +2 more
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Stability of Timoshenko system coupled with thermal law of Gurtin-Pipkin affecting on shear force
Applicable Analysis, 2021In this paper, we consider a Timoshenko type system coupled with parabolic equation that represents the thermal effect given by the Gurtin-Pipkin law while taking into account that the temperature influences on the shear force.
Dridi Hanni, B. Feng, K. Zennir
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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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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 ...
Guesmia, Aissa, Messaoudi, Salim A.
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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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