New stability result for a thermoelastic Bresse system with two infinite memories

Houssem Eddine Khochemane ^[1] ; Abdelhak Djebabla ^[2]
1. [1] École normale supérieure d’enseignement technologique, Azzaba, Skikda, Algeria
2. [2] Laboratory of Applied Mathematics, University Badji Mokhtar
Localización: SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 80, Nº. 1, 2023, págs. 175-200
Idioma: inglés
DOI: 10.1007/s40324-022-00284-3
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Resumen
- In this paper we investigate a thermoelastic system where the oscillations are defined by the Bresse model and the heat conduction is given by Green and Naghdi theories. First, we show that the system is well-posed in the sens of semigroup. Then, based on the energy method we establish a general decay result for the solutions of the system. This result generalizes and improves the earlier work of Ghanam and Djebabla (Math Methods Appl Sci 41:3868–3884, 2018) for the case l ≠ 0.