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Matematicheskaya Fizika, Analiz, Geometriya [Mathematical Physics, Analysis, Geometry], 2005, Volume 12, Number 2, Pages 173–186
(Mi jmag181)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/jmag181 https://www.mathnet.ru/eng/jmag/v12/i2/p173
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Abstract page: | 155 | Full-text PDF : | 40 |
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