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On Uniform Stabilization of a Quasi-Linear Model in Hyperbolic Thermoelasticity

Volume 8, Number 1 (2017), 1 - 23

On Uniform Stabilization of a Quasi-Linear Model in Hyperbolic Thermoelasticity

Communicated By: 
Enrique Zuazua
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Abstract

This paper is devoted to the study of a quasi-linear thermoelastic system where the heat flux is given by Cattaneo's law. Our main result says that the total energy decays at a uniform (exponential) rate as $t \rightarrow + \infty$.