Well-posedness and stability of abstract thermoelastic delayed systems
Analysis of PDEs
2024-07-29 v3 Functional Analysis
Abstract
In this paper, we consider a stabilization problem of a generalized thermoelastic system (the so called system) with delay in a part of the coupled system. For each case, we prove the well-posedness of the corresponding system using semigroup approach, then under some sufficient conditions we establish some results of exponential and polynomial stability of the system through a frequency-domain approach. The results are applied to concrete examples in thermoelasticity.
Cite
@article{arxiv.2401.08533,
title = {Well-posedness and stability of abstract thermoelastic delayed systems},
author = {Kaïs Ammari and Makrem Salhi and Farhat Shel},
journal= {arXiv preprint arXiv:2401.08533},
year = {2024}
}