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The Timoshenko system with history and Cattaneo law

Applied Mathematics and Computation, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hugo D Fernandez Sare   +2 more
exaly   +4 more sources

DECAY PROPERTY FOR THE TIMOSHENKO SYSTEM WITH MEMORY-TYPE DISSIPATION

open access: yesMathematical Models and Methods in Applied Sciences, 2012
In this paper we consider the initial value problem for the Timoshenko system with a memory term. We construct the fundamental solution by using the Fourier–Laplace transform and obtain the solution formula of the problem. Moreover, applying the energy method in the Fourier space, we derive the pointwise estimate of solutions in the Fourier space ...
Liu, Yongqin, Kawashima, Shuichi
openaire   +3 more sources

Stabilization of Timoshenko–Ehrenfest type systems

Computational and Applied Mathematics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dilberto da Silva Almeida Júnior   +5 more
openaire   +1 more source

Decay property of the Timoshenko–Cattaneo system

Analysis and Applications, 2016
We 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
openaire   +1 more source

Decay property of Timoshenko system in thermoelasticity

Mathematical Methods in the Applied Sciences, 2011
We 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.
openaire   +3 more sources

A boundary obstacle problem for the Mindlin–Timoshenko system

Mathematical Methods in the Applied Sciences, 2008
AbstractWe 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
openaire   +3 more sources

Dynamics of locally damped Timoshenko systems

Mathematics and Mechanics of Solids, 2022
In 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
openaire   +2 more sources

Existence of Attractors for a Nonlinear Timoshenko System with Delay

Journal of Dynamics and Differential Equations, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Anderson J. A. Ramos   +3 more
openaire   +2 more sources

Dynamics of nonlinear Reissner–Mindlin–Timoshenko plate systems

Mathematische Nachrichten, 2023
AbstractThe 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
openaire   +2 more sources

On the control of a viscoelastic damped Timoshenko-type system

Applied Mathematics and Computation, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aissa Guesmia, Salim A. Messaoudi
openaire   +2 more sources

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