2024
DOI: 10.3233/asy-241925
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Stability and optimal decay rates for abstract systems with thermal damping of Cattaneo’s type

Chenxi Deng,
Zhong-Jie Han,
Zhaobin Kuang
et al.

Abstract: This paper studies the stability of an abstract thermoelastic system with Cattaneo’s law, which describes finite heat propagation speed in a medium. We introduce a region of parameters containing coupling, thermal dissipation, and possible inertial characteristics. The region is partitioned into distinct subregions based on the spectral properties of the infinitesimal generator of the corresponding semigroup. By a careful estimation of the resolvent operator on the imaginary axis, we obtain distinct polynomial… Show more

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