Asymptotic stability of porous-elasticity with microtemparature of second-sound type

In this work, we establish exponential and polynomial decay results for a one-dimensional porous-elastic system with microtemperatures depending on the system’s parameters. Our results are new and improve some previous literature results where additional damping terms were required to establish the...

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Bibliographic Details
Published in:Afrika mathematica 2024-09, Vol.35 (3), Article 64
Main Authors: Apalara, Tijani A., Messaoud, Salim A., Zahri, Mostafa
Format: Article
Language:English
Subjects:
Applications of Mathematics
Damping
Decay
Elastic systems
History of Mathematical Sciences
Mathematics
Mathematics and Statistics
Mathematics Education
Polynomials
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Summary:In this work, we establish exponential and polynomial decay results for a one-dimensional porous-elastic system with microtemperatures depending on the system’s parameters. Our results are new and improve some previous literature results where additional damping terms were required to establish the exponential decay result. We also present some numerical tests to illustrate our theoretical results.
ISSN:1012-9405
2190-7668
DOI:10.1007/s13370-024-01208-2