On the stability of Timoshenko systems with Gurtin-Pipkin thermal law
Analysis of PDEs
2013-04-04 v1
Abstract
We analyze a differential system describing a Timoshenko beam coupled with a temperature evolution of Gurtin-Pipkin type. A necessary and sufficient condition for exponential stability is established in terms of the structural parameters of the equations. In particular, we generalize previously known results on the Fourier-Timoshenko and the Cattaneo-Timoshenko beam models.
Keywords
Cite
@article{arxiv.1304.0985,
title = {On the stability of Timoshenko systems with Gurtin-Pipkin thermal law},
author = {Filippo Dell'Oro and Vittorino Pata},
journal= {arXiv preprint arXiv:1304.0985},
year = {2013}
}