The stability number of the Timoshenko system with second sound

ML Santos, DSA Júnior, JEM Rivera - Journal of Differential Equations, 2012 - Elsevier
In this work, we consider the Timoshenko beam model with second sound. We introduce a
new number χ0 that characterizes the exponential decay. We prove that the corresponding …

Stability to 1-D thermoelastic Timoshenko beam acting on shear force

DS Almeida Júnior, ML Santos… - Zeitschrift für angewandte …, 2014 - Springer
In this paper, we study the stabilization of a new coupling to thermoelastic Timoshenko
beam. In particular, we consider a thermoelastic coupling on shear force. We prove that this …

A stability result of a Timoshenko system with a delay term in the internal feedback

B Said-Houari, Y Laskri - Applied Mathematics and Computation, 2010 - Elsevier
In this paper, we consider a Timoshenko system with a delay term in the feedback and prove
a stability result. The beam is clamped at the endpoints and has, in addition to an internal …

Uniform decay in a Timoshenko-type system with past history

SA Messaoudi, B Said-Houari - Journal of mathematical analysis and …, 2009 - Elsevier
Fernández Sare and Rivera [HD Fernández Sare, JE Muñoz Rivera, Stability of Timoshenko
systems with past history, J. Math. Anal. Appl. 339 (1)(2008) 482–502] considered the …

Stability to weakly dissipative Timoshenko systems

DS Almeida Júnior, ML Santos… - … Methods in the …, 2013 - Wiley Online Library
In 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 …

[PDF][PDF] Well-posedness and exponential stability for a linear damped Timoshenko system with second sound and internal distributed delay

TA Apalara - Electron. J. Differ. Equ, 2014 - researchgate.net
In this article we consider one-dimensional linear thermoelastic system of Timoshenko type
with linear frictional damping and a distributed delay acting on the displacement equation …

An exponential stability result of a Timoshenko system with thermoelasticity with second sound and in the presence of delay

TA Apalara, SA Messaoudi - Applied Mathematics & Optimization, 2015 - Springer
In this paper, we consider a one-dimensional linear thermoelastic system of Timoshenko
type with a delay, where the heat flux is given by Cattaneo's law. We prove an exponential …

Stabilization of a linear Timoshenko system with infinite history and applications to the Timoshenko-heat systems

A Guesmia, SA Messaoudi… - Electronic Journal of …, 2012 - inria.hal.science
In this article, we, first, consider a vibrating system of Timoshenko type in a one-dimensional
bounded domain with an infinite history acting in the equation of the rotation angle. We …

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

M Chen, W Liu, W Zhou - Advances in Nonlinear Analysis, 2018 - degruyter.com
In this paper, we consider the following Timoshenko system of thermo-viscoelasticity of type
III with frictional damping and delay terms:{ρ 1⁢ φ t⁢ tK⁢(φ x+ ψ) x= 0,(x, t)∈(0, 1)×(0,∞), ρ …

Long-time dynamics for a nonlinear Timoshenko system with delay

B Feng, XG Yang - Applicable Analysis, 2017 - Taylor & Francis
This paper is concerned with a nonlinear Timoshenko system with a time delay term in the
internal feedback together with initial data and Dirichet boundary conditions. Under some …