Stability of a thermoelastic mixture with second sound
Margareth S. Alves, Marcio Violante Ferreira, Jaime E. Muñoz Rivera, Octavio Vera Villagrán · Mathematics and Mechanics of Solids · 2018
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.