Asymptotic behavior of weakly dissipative Bresse‐Timoshenko system on influence of the second spectrum of frequency

DS Almeida Júnior, AJA Ramos… - ZAMM‐Journal of …, 2018 - Wiley Online Library
In the present work, we consider a dissipative Bresse‐Timoshenko type system, which is
free of physical anomaly know as second spectrum of frequency according important …

On the decay rates of porous elastic systems

ML Santos, ADS Campelo, DS Almeida Junior - Journal of Elasticity, 2017 - Springer
In this paper we analyze the porous elastic system. We show that viscoelasticity is not strong
enough to make the solutions decay in an exponential way, independently of any …

[HTML][HTML] Exponential stabilization of swelling porous systems with thermoelastic damping

TA Apalara, MO Yusuf, SE Mukiawa… - Journal of King Saud …, 2023 - Elsevier
We study two systems of swelling porous thermoelasticity with minimum damping.
Employing the standard multiplier method, we stabilize the systems exponentially without …

New decay results for a viscoelastic-type Timoshenko system with infinite memory

AM Al-Mahdi, MM Al-Gharabli, A Guesmia… - … Mathematik und Physik, 2021 - Springer
This paper is concerned with the following memory-type Timoshenko system ρ 1 φ tt-K (φ x+
ψ) x= 0, ρ 2 ψ tt-b ψ xx+ K (φ x+ ψ)+∫ 0+∞ g (s) ψ xx (ts) ds= 0, with Dirichlet boundary …

Exponential stability for a thermoelastic laminated beam with nonlinear weights and time-varying delay

C Nonato, C Raposo, B Feng - Asymptotic Analysis, 2022 - content.iospress.com
In this paper, we study the well-posedness and asymptotic stability to a thermoelastic
laminated beam with nonlinear weights and time-varying delay. To the best of our …

Existence and new general decay results for a viscoelastic Timoshenko system

JH Hassan, SA Messaoudi, M Zahri - Zeitschrift für Analysis und ihre …, 2020 - ems.press
In this paper, we are concerned with a memory-type Timoshenko system with Dirichlet
boundary conditions and a very general class of relaxation functions. We prove the …

The hypothesis of equal wave speeds for stabilization of Timoshenko beam is not necessary anymore: the time delay cases

DS Almeida Júnior, I Elishakoff… - IMA Journal of …, 2019 - academic.oup.com
In the current study, we consider the Bresse–Timoshenko type systems and we prove some
stability results for time delay cases into setting of so called simplified Bresse–Timoshenko …

Stability and exact controllability of a Timoshenko system with only one fractional damping on the boundary

M Akil, Y Chitour, M Ghader, A Wehbe - Asymptotic Analysis, 2020 - content.iospress.com
In this paper, we study the indirect boundary stability and exact controllability of a one-
dimensional Timoshenko system. In the first part of the paper, we consider the Timoshenko …

On porous-elastic system with localized damping

ML Santos, DS Almeida Junior - Zeitschrift für angewandte Mathematik und …, 2016 - Springer
In this article, we are considering the one-dimensional equations of an homogeneous and
isotropic porous elastic solid, where the localized damping involves the sum of displacement …

On a thermoelastic laminated Timoshenko beam: well posedness and stability

B Feng - Complexity, 2020 - Wiley Online Library
In this paper, we are concerned with a linear thermoelastic laminated Timoshenko beam,
where the heat conduction is given by Cattaneo's law. We firstly prove the global well …