Decay Structure of the Zener-Type Viscoelastic Plate with Type II Heat Conduction in the Whole Space
Year: 2025
Author: Etsuto Adachi, Ramón Quintanilla, Yoshihiro Ueda
Communications in Mathematical Analysis and Applications, Vol. 4 (2025), Iss. 2 : pp. 296–306
Abstract
In this paper, we study the Zener-type viscoelastic plate in that heat conduction is determined by the type II Green-Naghdi theory. This model considers the finite propagation of thermal waves, which is compatible with the causality principle. We consider the Cauchy problem of this model and derive the decay estimates of solutions. Furthermore, the optimality of the decay estimate is discussed.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cmaa.2025-0006
Communications in Mathematical Analysis and Applications, Vol. 4 (2025), Iss. 2 : pp. 296–306
Published online: 2025-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 11
Keywords: Zener-type viscoelastic plate type II Green-Naghdi theory dissipative structure.