Well-posedness and energy decay of swelling porous elastic soils with a
second sound and delay term
- Abdelli Manel,
- Lamine Bouzettouta,
- Guesmia Amar,
- Baibeche Sabah
Abdelli Manel
20 August 1955 University of Skikda
Corresponding Author:manou8652@gmail.com
Author ProfileAbstract
In this paper we consider a one-dimensional swelling porous-elastic
system with second sound and delay term acting on the porous equation.
Under suitable assumptions on the weight of delay, we establish the
well-posedness of the system by using semigroup theory and we prove that
the unique dissipation due to the delay time is strong enough to
exponentially stabilize the system when the speeds of wave propagation
are equal.