A note on asymptotic profiles for the thermoelastic plate system
Abstract
We investigate the Cauchy problem for the thermoelastic plate system associated with Newton's law of cooling, where optimal growth (n≤slant 4) or decay (n≥slant 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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