A nonlinear transmission problem for a compound plate with thermoelastic part

Research output: Contribution to journalArticle

7 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)530-546
Number of pages17
JournalMathematical Methods in the Applied Sciences
Volume35
Issue number5
DOIs
StatePublished - Mar 30 2012

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Transmission Problem
Thermoelastic
Nonlinear Problem
Dynamical systems
Dynamical system
Hilbert spaces
Global Attractor
Smoothness
Hilbert space
Scalar
Nonlinearity

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Engineering(all)

Cite this

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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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A nonlinear transmission problem for a compound plate with thermoelastic part. / Potomkin, M.

In: Mathematical Methods in the Applied Sciences, Vol. 35, No. 5, 30.03.2012, p. 530-546.

Research output: Contribution to journalArticle

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