A nonlinear transmission problem for a compound plate with thermoelastic part | Zendy

Potomkin M. | Zendy

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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.

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