ON THE EXISTENCE AND ASYMPTOTIC STABILITY OF LORD-SHULMAN SYSTEM WITH MICROTEMPERATURE

Authors

Marwa Boudeliou, Numerical Analysis, Optimization and Statistics Laboratory, Badji Mokhtar-Annaba UniversityFollow
Brahim Kilani, Laboratory of Mathematics, Dynamics and Modelization, Badji Mokhtar-Annaba University, Annaba, AlgeriaFollow
Abdelhak Djebabla, Laboratory of Mathematics, Dynamics and Modelization, Badji Mokhtar-Annaba University, Annaba, Algeria,Follow
Hamed Abderrahmane Bouraoui, National Higher School of Mathematics, AlgeriaFollow

Keywords

Exponential decay, porous system, microtemperature effects, lack of exponential stability, polynomial stability

Disciplines

Partial Differential Equations | Physical Sciences and Mathematics

Abstract

In this article, we consider the Lord-Shulman porous-elastic system with dissipation due to microtemperature effects. First, we show that the system is exponentially stable provided that the new stability number X=0. Otherwise, we prove the lack of exponential stability under the assumption X≠0. Furthermore, in the last case, we show that the solution decays polynomially.

Author ORCID Identifier

Marwa Boudeliou www.orcid.org/0009-0001-5508-4825

Abdelhak Djebabla www.orcid.org/0000-0001-8811-5045

Hamed Abderrahmane Bouraoui www.orcid.org/0000-0001-9911-9199

Recommended Citation

Boudeliou, Marwa; Kilani, Brahim; Djebabla, Abdelhak; and Bouraoui, Hamed Abderrahmane (2025) "ON THE EXISTENCE AND ASYMPTOTIC STABILITY OF LORD-SHULMAN SYSTEM WITH MICROTEMPERATURE," BAU Journal - Science and Technology: Vol. 7: Iss. 1, Article 7.
DOI: https://doi.org/10.54729/2959-331X.1167

ISSN

2959-331X