Exponential Decay of Swelling Porous Elastic Soils with Microtemperatures Effects

In this article, we considered the one-dimensional swelling problem in porous elastic soils with microtemperatures effects in the case of fluid saturation. First, we showed that the system is well-posed in the sens of semigroup. Then, we constructed a suitable Lyapunov functional based on the energy...

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Bibliographic Details
Published in:Journal of mathematics (Hidawi) 2023, Vol.2023, p.1-9
Main Authors: Rezaiguia, Ali, Zitouni, Salah, Nihal Zaidi, Hasan
Format: Article
Language:English
Subjects:
Boundary conditions
Energy methods
Inequality
Mathematics
Soil porosity
Soil sciences
Soil swelling
Soils
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Summary:In this article, we considered the one-dimensional swelling problem in porous elastic soils with microtemperatures effects in the case of fluid saturation. First, we showed that the system is well-posed in the sens of semigroup. Then, we constructed a suitable Lyapunov functional based on the energy method and we proved that the dissipation given only by the microtemperatures is strong enough to provoke an exponential stability for the solution irrespective of the wave speeds of the system.
ISSN:2314-4629
2314-4785
DOI:10.1155/2023/6013085