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Applicable Analysis
An International Journal
Volume 100, 2021 - Issue 14
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Articles

Exponential decay and well-posedness for a one-dimensional porous-elastic system with distributed delay

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Pages 2950-2964 | Received 01 Jun 2019, Accepted 05 Dec 2019, Published online: 22 Dec 2019
 

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.

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