Asymptotic behavior of thermoviscoelastic berger plate

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

System of partial differential equations with convolution terms and non-local nonlinearity describing oscillations of plate due to Berger's approach and with accounting for thermal regime in terms of Coleman-Gurtin and Gurtin-Pipkin law and fading memory of material is considered. The equation is transformed into a dynamical system in a suitable Hilbert space, which asymptotic behavior is analysed. Existence of a compact global attractor in this dynamical system and some of its properties are proved in this paper. Main tool in analysis of asymptotic behavior is stabilizability inequality.

Original languageEnglish (US)
Pages (from-to)161-192
Number of pages32
JournalCommunications on Pure and Applied Analysis
Volume9
Issue number1
DOIs
StatePublished - Jan 1 2010

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Dynamical systems
Dynamical system
Asymptotic Behavior
Fading Memory
Stabilizability
Hilbert spaces
Systems of Partial Differential Equations
Global Attractor
Convolution
Partial differential equations
Hilbert space
Nonlinearity
Oscillation
Data storage equipment
Term
Hot Temperature

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Cite this

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Asymptotic behavior of thermoviscoelastic berger plate. / Potomkin, Mykhailo.

In: Communications on Pure and Applied Analysis, Vol. 9, No. 1, 01.01.2010, p. 161-192.

Research output: Contribution to journalArticle

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