Abstract
In this paper, we consider a one-dimensional porous-elastic system with 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 show that the dissipation given by this complementary control stabilizes exponentially the system for the case of equal speeds of wave propagation.
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Acknowledgements
The authors wish to thank deeply the anonymous referee for useful remarks and careful reading of the proofs presented in this paper.
Disclosure statement
No potential conflict of interest was reported by the authors.