A note on asymptotic profiles for the thermoelastic plate system

We investigate the Cauchy problem for thermoelastic plate system associated with Newton’s law of cooling, where optimal growth ( n ⩽ 4 n\leqslant 4 ) or decay greater-than-or-slanted-equals 5"> ⩾<!-- ⩾ <mml:mn>5 encoding="application/x-tex">n\geqslant 5 estimates and asymptotic profiles solutions large-time are studied. Especially, additional lower-order term in temperature equation weakens rates vertical displacement, leads to a new leading comparing classical plates.