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

Ruth Milena Cortés | Zendy

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

Author(s) -

Ruth Milena Cortés

Publication year - 2022

Publication title -

revista integración

Language(s) - English

Resource type - Journals

eISSN - 2145-8472

pISSN - 0120-419X

DOI - 10.18273/revint.v40n1-2022003

Subject(s) - thermoelastic damping , dissipation , second sound , polynomial , thermal conduction , boundary (topology) , mathematical analysis , stability (learning theory) , boundary value problem , mathematics , physics , thermodynamics , sound (geography) , thermal , acoustics , computer science , machine learning

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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