Abstract

CORTES, RUTH MILENA. Polynomial stability of a thermoelastic system with linear boundary dissipation and second sound. Integración - UIS [online]. 2022, vol.40, n.1, pp.59-75.  Epub Aug 24, 2022. ISSN 0120-419X.  https://doi.org/10.18273/revint.v40n1-2022003.

This paper shows a thermoelastic system defined in Ω × ℝ +, Ω ⊂ ℝ n, 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.

Keywords : Thermoelastic System; Cattaneo’s Law Diffusion; Fourier’s Law; Polynomial Decay; Lyapunov’s Method.

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