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Matematicheskaya Fizika, Analiz, Geometriya [Mathematical Physics, Analysis, Geometry], 2005, Volume 12, Number 2, Pages 173–186 (Mi jmag181)  

This article is cited in 5 scientific papers (total in 5 papers)

On a retarded PDE system for a von Karman plate with thermal effects in the flow of gas

I. Ryzhkova

Department of Mechanics and Mathematics, V.N. Karazin National University, 4 Svobody Sq., Kharkov, 61077, Ukraine
Full-text PDF (305 kB) Citations (5)
Abstract: We prove existence of a compact global attractor of finite fractal dimension and existence of a finite set of asymptotically determining functionals for a retarded PDE system for a von Kármán plate with thermal effects in the flow of gas. Moreover, we show that asymptotical dynamics of the entire system is determined by the dynamics of the single component $u$, which describes displacement of the plate.
Received: 21.04.2004
Bibliographic databases:
Document Type: Article
MSC: 35B40, 35B41, 35L70
Language: English
Citation: I. Ryzhkova, “On a retarded PDE system for a von Karman plate with thermal effects in the flow of gas”, Mat. Fiz. Anal. Geom., 12:2 (2005), 173–186
Citation in format AMSBIB
\Bibitem{Ryz05}
\by I.~Ryzhkova
\paper On a retarded PDE system for a von Karman plate with thermal effects in the flow of gas
\jour Mat. Fiz. Anal. Geom.
\yr 2005
\vol 12
\issue 2
\pages 173--186
\mathnet{http://mi.mathnet.ru/jmag181}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2152644}
\zmath{https://zbmath.org/?q=an:1078.35133}
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  • https://www.mathnet.ru/eng/jmag/v12/i2/p173
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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