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]