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 …

Fine scales of decay of operator semigroups

CJK Batty, R Chill, Y Tomilov - Journal of the European Mathematical …, 2016 - ems.press
Motivated by potential applications to partial differential equations, we develop a theory of
fine scales of decay rates for operator semigroups. The theory contains, unifies, and extends …

Uniform stability of a laminated beam with structural damping and second sound

TA Apalara - Zeitschrift für angewandte Mathematik und Physik, 2017 - Springer
In this work, we consider a system of laminated beams with structural damping which
describes the slip occurring at the interface of two-layered objects. The system is coupled to …

[HTML][HTML] On the stability of Timoshenko systems with Gurtin–Pipkin thermal law

F Dell'Oro, V Pata - Journal of Differential Equations, 2014 - Elsevier
We analyze the differential system {ρ 1 φ tt− κ (φ x+ ψ) x= 0 ρ 2 ψ tt− b ψ x x+ κ (φ x+ ψ)+ δ θ
x= 0 ρ 3 θ t− 1 β∫ 0∞ g (s) θ xx (t− s) d s+ δ ψ tx= 0 describing a Timoshenko beam coupled …

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 …

[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 …

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 …

[HTML][HTML] Asymptotic stability of thermoelastic systems of Bresse type

F Dell'Oro - Journal of Differential Equations, 2015 - Elsevier
We provide a comprehensive stability analysis of the thermoelastic Bresse system (also
known as the circular arch problem). In particular, assuming a temperature evolution of …

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 …