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Stabilization of Timoshenko–Ehrenfest type systems
Computational and Applied Mathematics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
D. S. Almeida Júnior +5 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.
Mori, Naofumi, Kawashima, Shuichi
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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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Dynamics of locally damped Timoshenko systems
Mathematics and Mechanics of Solids, 2022In this paper, we study the long-time dynamics of a Timoshenko system modeling vibrations of beams with non-linear localized damping mechanisms acting on both displacement and angular rotation and subjected to non-linear source terms. Using recent quasi-stability methods, we prove the existence of smooth finite dimensional global attractor, which is ...
Mirelson M Freitas +4 more
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Dynamics of nonlinear Reissner–Mindlin–Timoshenko plate systems
Mathematische Nachrichten, 2023AbstractThe problem of Reissner–Mindlin–Timoshenko plate systems with nonlinear damping terms is considered. The main result is the existence of global attractors. By showing the system is gradient and asymptotic smoothness via a stabilizability inequality, we establish the existence of global attractors with finite fractal dimension. The continuity of
B. Feng +3 more
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Existence of Attractors for a Nonlinear Timoshenko System with Delay
Journal of Dynamics and Differential Equations, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Anderson J. A. Ramos +3 more
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A boundary obstacle problem for the Mindlin–Timoshenko system
Mathematical Methods in the Applied Sciences, 2008AbstractWe consider the dynamical one‐dimensional Mindlin–Timoshenko model for beams. We study the existence of solutions for a contact problem associated with the Mindlin–Timoshenko system. We also analyze how its energy decays exponentially to zero as time goes to infinity. Copyright © 2008 John Wiley & Sons, Ltd.
Araruna, F. D. +2 more
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Pullback Dynamics of Non-autonomous Timoshenko Systems
Applied Mathematics & Optimization, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ma, To Fu +2 more
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Exponential stability of thermoelastic Timoshenko system with Cattaneo’s law
ANNALI DELL'UNIVERSITA' DI FERRARA, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Djellali, F., Labidi, S., Taallah, F.
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