Abstract
ABSTRACTIn this work, we consider a one-dimensional model of a thermoviscoelastic mixture with second sound. Under suitable assumption on the constitutive constants of the system, we prove, using the theory of semigroup of linear operators and results obtained by Prüss (1984) and Borichev and Tomilov (2009), that the damping effect through heat conduction given by the Cattaneo law is strong enough to stabilize the system.
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