A nonlinear transmission problem for a compound plate with thermoelastic part

Details A nonlinear transmission problem for a compound plate with thermoelastic part A nonlinear transmission problem for a compound plate with thermoelastic part

2010-03-17

arxiv.org/abs/1003.3332v1

Mathematics

Dynamical Systems

23 pages

Scientific paper

In this paper we study a nonlinear transmission problem for a plate which consists of thermoelastic and isothermal parts. The problem generates a dynamical system in a suitable Hilbert space. Main result is the proof of the asymptotic smoothness of this dynamical system. Also we prove the existence of a compact global attractor in particular cases when the nonlinearity is of Berger type or scalar.

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