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arXiv · 2207.01757

A note on asymptotic profiles for the thermoelastic plate system

Wenhui Chen·Yan Liu
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Abstract

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

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Wenhui Chen, Yan Liu. 2022-07-05. A note on asymptotic profiles for the thermoelastic plate system. https://doi.org/10.1090/proc/16407

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