Research Communication | Open Access
Volume 2019 | Communication ID 276
Volume 2019 | Communication ID 276
| Energy decay rate of a linear thermoelastic Bresse system with second sound under new conditions on the coefficients of the model |
Mounir Afilal, Aissa Guesmia, Abdelaziz Soufyane
Received |
Accepted |
Published |
Feb 08, 2019 |
Feb 26, 2019 |
Mar 01, 2019 |
Abstract: In this paper, we consider a linear one-dimensional Thermoelastic Bresse system with second sound consisting of three hyperbolic equations and two parabolic equations coupled in a certain manner under mixed homogeneous Dirichlet-Neumann boundary conditions, where the heat conduction is given by Cattaneo’s law. Only one hyperbolic equation is damped via the dissipation from the two parabolic equations, and the other two hyperbolic equations are free. We prove the well-posedness of the system and some decay results depending on new surprising relations between the coefficients of the model ...