@article{Wang2025, 
author = {Danhua Wang and Kewang Chen},
title = {Decay properties for the Cauchy problem of the linear JMGT-viscoelastic plate with Cattaneo heat conduction},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {5},
pages = {12079-12091},
keywords = {Decay estimate, JMGT equation, viscoelasticity, Cattaneo heat conduction, regularity-loss type},
url = {https://www.sciopen.com/article/10.3934/math.2025547},
doi = {10.3934/math.2025547},
abstract = {In this work, we investigate the Cauchy problem for the JMGT-viscoelastic plate system coupled with Cattaneo-type heat conduction. Our focus is on deriving optimal decay rate results for both the subcritical and critical regimes. Specifically, we improve upon the results in [Commun. Pure Appl. Anal. 2023] by showing that the decay behavior exhibits no regularity loss in the subcritical case. In contrast, a regularity-loss phenomenon arises in the critical case. Furthermore, we perform an asymptotic analysis of the eigenvalues to confirm the optimality of the decay rates in both scenarios.}
}