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ON THE DECAY OF MGT-VISCOELASTIC PLATE WITH HEAT CONDUCTION OF CATTANEO TYPE IN BOUNDED AND UNBOUNDED DOMAINS
Journal article   Open access  Peer reviewed

ON THE DECAY OF MGT-VISCOELASTIC PLATE WITH HEAT CONDUCTION OF CATTANEO TYPE IN BOUNDED AND UNBOUNDED DOMAINS

M. Afilal, T. A. Apalara, A. Soufyane, A. Radid and Département de Mathématiques et Informatique, FSAC-LMFA, Université, Hassan Ⅱ, B.P. 5366. Maarif - Casablanca, Maroc
Communications on pure and applied analysis, Vol.22(1), pp.212-227
01/01/2023
DOI: https://doi.org/10.3934/cpaa.2022151

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we consider a viscoelastic plate equation of Moore-Gibson-Thompson viscoelastic plate with heat conduction of Cattaneo type. We investigate the system in bounded and unbounded domains, seeking exponential stability in bounded domains and polynomial decay rates for the Cauchy problem. It turns out that our system is exponentially stable in the bounded domain, while the system has regularity loss in the Cauchy problem. Our results are proved in the sub-critical case K > 0:
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https://doi.org/10.3934/cpaa.2022151View
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