A note on asymptotic profiles for the thermoelastic plate system-Reference-Cited by-同舟云学术

A note on asymptotic profiles for the thermoelastic plate system

Published:2023-07-14 Issue:10 Volume:151 Page:4317-4329
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Chen Wenhui,Liu Yan

Abstract

We investigate the Cauchy problem for the thermoelastic plate system associated with Newton’s law of cooling, where optimal growth ( n ⩽ 4 n\leqslant 4 ) or decay ( n ⩾ 5 n\geqslant 5 ) 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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

https://www.ams.org/proc/2023-151-10/S0002-9939-2023-16407-2/S0002-9939-2023-16407-2.pdf

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