On the stability of damped Timoshenko systems: Cattaneo versus Fourier law

HD Fernández Sare, R Racke - Archive for Rational Mechanics and …, 2009 - Springer
We consider hyperbolic Timoshenko-type vibrating systems that are coupled to a heat
equation modeling an expectedly dissipative effect through heat conduction. While …

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 …

Stability of Timoshenko systems with past history

JEM Rivera, HDF Sare - Journal of Mathematical Analysis and Applications, 2008 - Elsevier
We consider vibrating systems of Timoshenko type with past history acting only in one
equation. We show that the dissipation given by the history term is strong enough to produce …

General energy decay estimates of Timoshenko systems with frictional versus viscoelastic damping

A Guesmia, SA Messaoudi - Mathematical Methods in the …, 2009 - Wiley Online Library
In this paper we consider the following Timoshenko system: article amssymb\usepackage
mathscr euscript\footskip= 0pc empty {1 tt-k_ 1 (x+ ψ) _ x= 0 & in 0,L)*R_+\2tt-k_2xx+∫0^tg(t …

Stability to weak dissipative Bresse system

FA Boussouira, JEM Rivera, DSA Júnior - Journal of Mathematical Analysis …, 2011 - Elsevier
In this paper we study the Bresse system with frictional dissipation working only on the angle
displacement. Our main result is to prove that this dissipative mechanism is enough to …

Energy decay in a Timoshenko-type system of thermoelasticity of type III

SA Messaoudi, B Said-Houari - Journal of Mathematical analysis and …, 2008 - Elsevier
Journal of Mathematical Analysis and Applications Energy decay in a Timoshenko-type
system of thermoelasticity of type III Page 1 J. Math. Anal. Appl. 348 (2008) 298–307 …

Timoshenko systems with indefinite damping

JEM Rivera, R Racke - Journal of Mathematical Analysis and Applications, 2008 - Elsevier
We consider the Timoshenko system in a bounded domain (0, L)⊂ R1. The system has an
indefinite damping mechanism, ie with a damping function a= a (x) possibly changing sign …

[PDF][PDF] A stability result in a memory-type Timoshenko system

SA Messaoudi, MI Mustafa - Dynamic systems and applications, 2009 - acadsol.eu
1. INTRODUCTION Timoshenko [1] gave the following system of coupled hyperbolic
equations ρutt=(K (ux− ϕ)) x, in (0, L)×(0,+∞) Iρϕtt=(EIϕx) x+ K (ux− ϕ), in (0 …

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 …

Decay property of regularity-loss type for dissipative Timoshenko system

K Ide, K Haramoto, S Kawashima - Mathematical Models and …, 2008 - World Scientific
We study the decay property of the dissipative Timoshenko system in the one-dimensional
whole space. We derive the L2 decay estimates of solutions in a general situation and …