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General stability result for a porous thermoelastic system with infinite history and microtemperatures effect
  • Houssem Eddine Khochemane,
Houssem Eddine Khochemane,
Ecole Normale Supérieure d'Enseignement Technologique de Skikda
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Peer review status:UNDER REVIEW

28 Jul 2020Submitted to Mathematical Methods in the Applied Sciences
30 Jul 2020Assigned to Editor
30 Jul 2020Submission Checks Completed
03 Aug 2020Reviewer(s) Assigned


In this paper, we consider a one-dimensional porous thermoelastic system with microtemperatures effects and past history term acting only on the porous equation. We show that the system is well-posed in the sens of semigroup and based on the energy method we establish a general decay result for the solutions of the system under an appropriate assumptions on the kernel. Furthermore, our result depends on the stability number that was first considered in [25]. The result of this paper improves some results in the literature.