ANÁLISE DA ESTABILIDADE EXPONENCIAL DE UM SISTEMA DE BRESSE COM DOIS AMORTECIMENTOS TÉRMICOS BASEADOS NA LEI DE CATTANEO

Abstract

In this work, we study a thermoelastic Bresse system with thermal damping based on Cattaneo's law acting on both the shear force and the bending moment. The novelty of the analysis compared to the existing literature lies in the adopted boundary conditions. Initially, we prove existence and uniqueness of solution. Next, we prove the exponential decay of the energy provided that a certain condition (already known in the literature for this type of system) is imposed on the structural parameters. Finally, by exploiting the new boundary conditions adopted here, we introduce a new sufficient condition for non-exponential decay of the energy.   Keywords: Curved beams; Cattaneo's law; Exponential stability; Non-exponential decay; Linear thermoelasticity.