TY - JOUR
T1 - Decay Structure of the Zener-Type Viscoelastic Plate with Type II Heat Conduction in the Whole Space
AU - Adachi , Etsuto
AU - Quintanilla , Ramon
AU - Ueda , Yoshihiro
JO - Communications in Mathematical Analysis and Applications
VL - 2
SP - 296
EP - 306
PY - 2025
DA - 2025/06
SN - 4
DO - http://doi.org/10.4208/cmaa.2025-0006
UR - https://global-sci.org/intro/article_detail/cmaa/24125.html
KW - Zener-type viscoelastic plate, type II Green-Naghdi theory, dissipative structure.
AB - <p style="text-align: justify;">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.</p>