Revista Integración, temas de matemáticas.

Revista Integración, temas de matemáticas

Vol. 40 No. 1 (2022): Revista Integración, temas de matemáticas
Research and Innovation Articles

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

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  • Ruth Milena Cortés
Ruth Milena Cortés
Universidad Distrital Francisco José de Caldas, Facultad de Ciencias y Educación, Bogotá, Colombia.
DOI: https://doi.org/10.18273/revint.v40n1-2022003

Published 2022-03-01

Keywords

  • Thermoelastic System,
  • Cattaneo’s Law Diffusion,
  • Fourier’s Law,
  • Polynomial Decay,
  • Lyapunov’s Method

How to Cite

Cortés, R. M. (2022). Polynomial stability of a thermoelastic system with linear boundary dissipation and second sound. Revista Integración, Temas De matemáticas, 40(1), 59–75. https://doi.org/10.18273/revint.v40n1-2022003

Copyright (c) 2022 Revista Integración, temas de matemáticas

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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.

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