A nonlinear transmission problem for a compound plate with thermoelastic part

M. Potomkin

doi:10.1002/mma.1589

A nonlinear transmission problem for a compound plate with thermoelastic part

M. Potomkin

Mathematics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

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)
Pages (from-to)	530-546
Number of pages	17
Journal	Mathematical Methods in the Applied Sciences
Volume	35
Issue number	5
DOIs	https://doi.org/10.1002/mma.1589
State	Published - Mar 30 2012

All Science Journal Classification (ASJC) codes

Mathematics(all)
Engineering(all)

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10.1002/mma.1589

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abstract = "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.",

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AB - 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.

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A nonlinear transmission problem for a compound plate with thermoelastic part

Abstract

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