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

BAU Journal - Science and Technology 2026

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Authors: Marwa Boudeliou, Brahim Kilani, Abdelhak Djebabla, Hamed Abderrahmane Bouraoui
DOI: 10.54729/2959-331x.1167
Cited by: 0

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.

Fields of Study & Subjects

Stability and Controllability of Differential Equations Thermoelastic and Magnetoelastic Phenomena Navier-Stokes equation solutions

Publication details

Journal / source
BAU Journal - Science and Technology
Volume
7
Issue
1
Publication date
1 January 2026
Language
EN