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A nonlinear transmission problem for a compound plate with thermoelastic part
Author(s) -
Potomkin M.
Publication year - 2012
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1589
Subject(s) - thermoelastic damping , mathematics , scalar (mathematics) , nonlinear system , attractor , smoothness , mathematical analysis , hilbert space , dynamical systems theory , transmission (telecommunications) , thermal , geometry , computer science , physics , telecommunications , quantum mechanics , meteorology
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. Copyright © 2012 John Wiley & Sons, Ltd.