Well-Posedness and Stability Results for Lord Shulman Swelling Porous Thermo-Elastic Soils with Microtemperature and Distributed Delay

The Lord Shulman swelling porous thermo-elastic soil system with the effects of microtemperature, temperatures and distributed delay terms is considered in this study. The well-posedness result is established by the Lumer�Phillips corollary applied to the Hille�Yosida theorem. The exponential stabil...

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Bibliographic Details
Main Authors: Choucha A., Boulaaras S., Jan R., AbaOud M., Alrajhi R.
Other Authors: 57216493937
Format: Article
Published: Multidisciplinary Digital Publishing Institute (MDPI) 2024
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Summary:The Lord Shulman swelling porous thermo-elastic soil system with the effects of microtemperature, temperatures and distributed delay terms is considered in this study. The well-posedness result is established by the Lumer�Phillips corollary applied to the Hille�Yosida theorem. The exponential stability result is proven by the energy method under suitable assumptions. � 2023 by the authors.