Revista Integración
ISSN 0120-419X ISSN 2145-8472
CORTES, RUTH MILENA. Polynomial stability of a thermoelastic system with linear boundary dissipation and second sound. []. , 40, 1, pp.59-75. 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.
MSC2010:
39A30, 39A60, 58J45.
: Thermoelastic System; Cattaneo’s Law Diffusion; Fourier’s Law; Polynomial Decay; Lyapunov’s Method.