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Discrete Energy behavior of a damped Timoshenko system [PDF]

open access: greenComputational and Applied Mathematics, 2019
In this article, we consider a one-dimensional Timoshenko system subject to different types of dissipation (linear and nonlinear damping). Based on a combination between the finite element and the finite difference methods, we design a discretization ...
Sabrine Chebbi, Makram Hamouda
semanticscholar   +9 more sources

Existence and general stabilization of the Timoshenko system of thermo-viscoelasticity of type III with frictional damping and delay terms

open access: bronzeAdvances in Nonlinear Analysis, 2018
In this paper, we consider the following Timoshenko system of thermo-viscoelasticity of type III with frictional damping and delay terms:
Chen Miaomiao, Liu Wenjun, Zhou Weican
doaj   +3 more sources

Exponential stabilty for a Timoshenko system with nonlocal delay

open access: goldTrends in Computational and Applied Mathematics, 2020
The purpose of this paper is to study  the Timoshenko system with nonlocal time-delayed condition. The well-posedness is proved  by Hille-Yosida theorem.
C. A. S. Nonato   +2 more
doaj   +6 more sources

Analysis of the thermoviscoelastic Timoshenko system with diffusion effect

open access: yesPartial Differential Equations in Applied Mathematics, 2021
This paper is concerned with a new Timoshenko beam model with thermal, mass diffusion and viscoelastic effects. First, by the C0-semigroup theory, we prove the well posedness of the considered problem with Dirichlet boundary conditions.
M. Elhindi, T. EL Arwadi
doaj   +4 more sources

Classical solutions of the Timoshenko system [PDF]

open access: bronzeAdvances in Differential Equations, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ronald Grimmer, Eugenio Sinestrari
openalex   +4 more sources

Timoshenko systems with indefinite damping [PDF]

open access: bronzeJournal of Mathematical Analysis and Applications, 2007
AbstractWe consider the Timoshenko system in a bounded domain (0,L)⊂R1. The system has an indefinite damping mechanism, i.e. with a damping function a=a(x) possibly changing sign, present only in the equation for the rotation angle. We shall prove that the system is still exponentially stable under the same conditions as in the positive constant ...
Jaime E. Muñoz Rivera, Reinhard Racke
openalex   +2 more sources

Timoshenko systems with fading memory [PDF]

open access: greenDynamics of Partial Differential Equations, 2013
The decay properties of the semigroup generated by a linear Timoshenko system with fading memory are discussed. Uniform stability is shown to occur within a necessary and sufficient condition on the memory kernel.
Monica Conti   +2 more
openalex   +6 more sources

On a Nonhomogeneous Timoshenko System with Nonlocal Constraints [PDF]

open access: yesJournal of Function Spaces, 2021
Our main concern in this paper is to prove the well posedness of a nonhomogeneous Timoshenko system with two damping terms. The system is supplemented by some initial and nonlocal boundary conditions of integral type.
Said Mesloub, Faten Aldosari
doaj   +2 more sources

Exponential stability of Timoshenko system in thermoelasticity of second sound with a memory and distributed delay term

open access: yesOpen Mathematics, 2021
This article concerns linear one-dimensional thermoelastic Timoshenko system with memory and distributed delay terms where the Cattaneo law governs the heat flux q(x,t)q\left(x,t).
Moumen Abdelkader   +4 more
doaj   +2 more sources

General decay in a Timoshenko-type system with thermoelasticity with second sound [PDF]

open access: hybridAdvances in Nonlinear Analysis, 2015
In this article, we consider a vibrating nonlinear Timoshenko system with thermoelasticity with second sound. We discuss the well-posedness and the regularity of solutions using the semi-group theory.
Ayadi Mohamed Ali   +3 more
doaj   +2 more sources

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