Polynomial stability of a thermoelastic system with linear boundary dissipation and second sound

Abstract

This paper shows a thermoelastic system defined in Ω ×R+, Ω ⊂ Rn, n ≥ 2 with heat conduction given by Cattaneo’s law. By introducing a linear dissipation mechanism on a part of the boundary, we obtain the well-posedness of the system and the polynomial decay of the energy in the solution.