On the exponential stability of a flexible structure in thermo-elasticity with micro-temperature effects

Year 2021, Volume: 39 Issue: 3, 260 - 267, 27.09.2021

Mohamed Houasnı Salah Zıtounı Abdelhak Djebabla

Abstract

In this paper, we consider a non-uniform flexible structure with micro-temperature effect. We prove the well-posed of the problem using semi-group theory, as well as an exponential stability using the multiplier method without any restriction or relation on the coefficients of the system.

Keywords

Decay , Flexible structure , Semigroups theory , Exponential stability , Micro-temperature damping

References

• [2] Alves MS, Gamboa P, Gorain GC, Rambaud A, Vera O. Asymptotic behavior of a flexible structure with Cattaneo type of thermal effect. Indag Math 2016;27:821–34. [CrossRef]