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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …