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On the Stabilization of a Memory-Type Porous Thermoelastic System

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Abstract

In this work, we consider a one-dimensional porous thermoelastic system with memory effects. We prove a general decay result, for which exponential and polynomial decay results are special cases, depending only on the kernel of the memory effects. Our result is established irrespective of the wave speeds of the system. The result obtained is new and improves previous results in the literature.

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Acknowledgements

The author thanks UHB for its continuous support. The author would also like to thank the editors and anonymous referees for their helpful comments and suggestions.

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Authors and Affiliations

  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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Communicated by Yong Zhou.

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Apalara, T.A. On the Stabilization of a Memory-Type Porous Thermoelastic System. Bull. Malays. Math. Sci. Soc. 43, 1433–1448 (2020). https://doi.org/10.1007/s40840-019-00748-2

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  • DOI: https://doi.org/10.1007/s40840-019-00748-2

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