In this paper, we study a nonlinear transmission problem for a plate that consists of thermoelastic and isothermal parts. The problem generates a dynamical system in a suitable Hilbert space. The main result is the proof of the asymptotic smoothness of this dynamical system. We also prove the existence of a compact global attractor in special cases when the nonlinearity is of Berger type or scalar.
|Original language||English (US)|
|Number of pages||17|
|Journal||Mathematical Methods in the Applied Sciences|
|State||Published - Mar 30 2012|
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