Stabilization of a microtemperature porous-elastic system with distributed delay-time
F Hebhoub, L Bouzettouta, K Ghennam… - Mediterranean Journal of …, 2022 - Springer
F Hebhoub, L Bouzettouta, K Ghennam, K Kibech
Mediterranean Journal of Mathematics, 2022•SpringerIn this paper, we consider a one-dimensional porous-elastic system with microtemperature
and distributed delay term acting on the porous equation. Under suitable assumptions on
the weight of distributed delay, we establish the well-posedness of the system by using
semigroup theory and we prove that the unique dissipation due to the microtemperature is
strong enough to exponentially stabilize the system when the speeds of wave propagation
are equal.
and distributed delay term acting on the porous equation. Under suitable assumptions on
the weight of distributed delay, we establish the well-posedness of the system by using
semigroup theory and we prove that the unique dissipation due to the microtemperature is
strong enough to exponentially stabilize the system when the speeds of wave propagation
are equal.
Abstract
In this paper, we consider a one-dimensional porous-elastic system with microtemperature and distributed delay term acting on the porous equation. Under suitable assumptions on the weight of distributed delay, we establish the well-posedness of the system by using semigroup theory and we prove that the unique dissipation due to the microtemperature is strong enough to exponentially stabilize the system when the speeds of wave propagation are equal.
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