A note on asymptotic profiles for the thermoelastic plate system
Analysis of PDEs
2023-08-16 v1
Abstract
We investigate the Cauchy problem for the thermoelastic plate system associated with Newton's law of cooling, where optimal growth () or decay () estimates and asymptotic profiles of solutions for large-time are studied. Especially, the additional lower-order term in the temperature equation weakens decay rates of the vertical displacement, and leads to a new leading term comparing with the classical thermoelastic plates.
Keywords
Cite
@article{arxiv.2207.01757,
title = {A note on asymptotic profiles for the thermoelastic plate system},
author = {Wenhui Chen and Yan Liu},
journal= {arXiv preprint arXiv:2207.01757},
year = {2023}
}