Well-posedness and exponential stability of a thermoelastic system with internal delay
Analysis of PDEs
2020-12-23 v1
Abstract
The presence of a delay in a thermoelastic system destroys the well-posedness and the stabilizing effect of the heat conduction [17]. To avoid this problem we add to the system, at the delayed equation, a Kelvin-Voigt damping. At first, we prove the well-posedness of the system by the semigroup theory. Next, under appropriate assumptions, we prove the exponential stability of the system by introducing a suitable Lyapunov functional.
Cite
@article{arxiv.2012.12251,
title = {Well-posedness and exponential stability of a thermoelastic system with internal delay},
author = {Smain Monlay Khatir and Farhat Shel},
journal= {arXiv preprint arXiv:2012.12251},
year = {2020}
}