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Mat. Fiz. Anal. Geom., 2005, Volume 12, Number 2, Pages 173–186 (Mi jmag181)  

This article is cited in 4 scientific papers (total in 4 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

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.

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Bibliographic databases:
MSC: 35B40, 35B41, 35L70
Received: 21.04.2004
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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://www.ams.org/mathscinet-getitem?mr=2152644}
\zmath{https://zbmath.org/?q=an:1078.35133}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Ryzhkova I., “Dynamics of a thermoelastic von Karman plate in a subsonic gas flow”, Z Angew Math Phys, 58:2 (2007), 246–261  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    2. Chueshov I. Lasiecka I., “Von Karman Evolution Equations: Well-Posedness and Long-Time Dynamics”, Von Karman Evolution Equations: Well-Posedness and Long-Time Dynamics, Springer Monographs in Mathematics, Springer, 2010, 1–766  crossref  mathscinet  zmath  isi
    3. Webster J.T., “Weak and strong solutions of a nonlinear subsonic flow-structure interaction: Semigroup approach”, Nonlinear Analysis-Theory Methods & Applications, 74:10 (2011), 3123–3136  crossref  mathscinet  zmath  isi  scopus
    4. Lasiecka I., Webster J.T., “Flow-Plate Interactions: Well-Posedness and Long Time Behavior”: Kaltenbacher, B Kukavica, I Lasiecka, I Triggiani, R Tuffaha, A Webster, JT, Mathematical Theory of Evolutionary Fluid-Flow Structure Interactions, Oberwolfach Seminars, 48, Birkhauser Verlag Ag, 2018, 173–U101  crossref  mathscinet  isi
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