Well-posedness and exponential stability of swelling porous elastic soils with a second sound and distributed delay term
Abstract
In this paper we consider a one-dimensional swelling porous-elastic system with second sound and distributed delay term. We prove that the combination of the frictional damping with the heat flux effect is strong enough to provoke an exponential decay of the energy even if the delay is a source of destabilization.
Copyright © 2022 Sabah Baibeche, Lamine Bouzettouta, Amar Guesmia, Manel Abdelli. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
S. Baibeche, L. Bouzettouta, A. Guesmia, M. Abdelli, Well-posedness and exponential stability of swelling porous elastic soils with a second sound and distributed delay term, J. Math. Comput. Sci. 12 (2022), 82. https://doi.org/10.28919/jmcs/7106
BibTeX
@article{Baibeche2022,
author = {Baibeche, Sabah and Bouzettouta, Lamine and Guesmia, Amar and Abdelli, Manel},
title = {Well-posedness and exponential stability of swelling porous elastic soils with a second sound and distributed delay term},
journal = {J. Math. Comput. Sci.},
volume = {12},
year = {2022},
pages = {82},
doi = {10.28919/jmcs/7106}
}