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

Houssem Eddine Khochemane, Abdelhak Djebabla

• 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.