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Well-posedness and energy decay of swelling porous elastic soils with a second sound and delay term
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  • Abdelli Manel,
  • Lamine Bouzettouta,
  • Guesmia Amar,
  • Baibeche Sabah
Abdelli Manel
20 August 1955 University of Skikda
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Lamine Bouzettouta
20 August 1955 University of Skikda
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Guesmia Amar
Universite du 20 aout 1955 de Skikda
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Baibeche Sabah
20 August 1955 University of Skikda
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Abstract

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.

Peer review status:UNDER REVIEW

24 Nov 2021Submitted to Mathematical Methods in the Applied Sciences
25 Nov 2021Assigned to Editor
25 Nov 2021Submission Checks Completed
30 Nov 2021Reviewer(s) Assigned