Stability of a thermoelastic mixture with second sound

Stability of a thermoelastic mixture with second sound

We consider the one-dimensional model of a thermoelastic mixture with second sound. We give a complete characterization of the asymptotic properties of the model in terms of the coefficients of the model. We establish the necessary and sufficient conditions for the model to be exponential or polynom...

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Veröffentlicht in:Mathematics and mechanics of solids 2019-06, Vol.24 (6), p.1692-1706
Hauptverfasser: Alves, Margareth S., Ferreira, Marcio V., Muñoz Rivera, Jaime E., Villagrán, O. Vera
Format: Artikel
Sprache:eng
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Zusammenfassung:We consider the one-dimensional model of a thermoelastic mixture with second sound. We give a complete characterization of the asymptotic properties of the model in terms of the coefficients of the model. We establish the necessary and sufficient conditions for the model to be exponential or polynomial stable and also the conditions for which there exist initial data for where the energy is conserved.
ISSN:1081-2865
1741-3028
DOI:10.1177/1081286518775794