التفاصيل البيبلوغرافية
| العنوان: |
Well-posedness and stability of abstract thermoelastic delayed systems |
| المؤلفون: |
Ammari, Kaïs, Salhi, Makrem, Shel, Farhat |
| سنة النشر: |
2024 |
| المجموعة: |
Mathematics |
| مصطلحات موضوعية: |
Mathematics - Analysis of PDEs, Mathematics - Functional Analysis, 35B35, 35B40, 93D05, 93D15, 93D20 |
| الوصف: |
In this paper, we consider a stabilization problem of a generalized thermoelastic system (the so called $\alpha-\beta$ system) with delay in a part of the coupled system. For each case, we prove the well-posedness of the corresponding system using semigroup approach, then under some sufficient conditions we establish some results of exponential and polynomial stability of the system through a frequency-domain approach. The results are applied to concrete examples in thermoelasticity. |
| نوع الوثيقة: |
Working Paper |
| URL الوصول: |
http://arxiv.org/abs/2401.08533 |
| رقم الانضمام: |
edsarx.2401.08533 |
| قاعدة البيانات: |
arXiv |