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General stability result of swelling porous elastic soils with a viscoelastic damping

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Abstract

We consider a swelling porous-elastic system with a single memory term as the only damping source. The coupling gives new contributions to the theory associated with asymptotic behaviors of swelling porous elastic soils. Unexpectedly, using the multiplier method, we establish a general decay result irrespective of the wave speeds of the system.

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Acknowledgements

The author thanks UHB for its continuous support and the anonymous referees for their helpful and valuable suggestions. This work has been funded by UHB under Project # G-106-2020.

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  1. Mathematics Department, University of Hafr Al-Batin (UHB), Hafr Al-Batin, 31991, Saudi Arabia

    Tijani A. Apalara

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  1. Tijani A. Apalara
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Correspondence to Tijani A. Apalara.

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Apalara, T.A. General stability result of swelling porous elastic soils with a viscoelastic damping. Z. Angew. Math. Phys. 71, 200 (2020). https://doi.org/10.1007/s00033-020-01427-0

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  • DOI: https://doi.org/10.1007/s00033-020-01427-0

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