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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2013, Volume 9, Number 2, Pages 191–206 (Mi jmag556)  
On the Long-Time Behavior of the Thermoelastic Plates with Second Sound

T. B. Fastovska

Department of Mechanics and Mathematics, V. N. Karazin Kharkiv National University, 4 Svobody Sq., Kharkiv, 61077, Ukraine
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Abstract: The relation between the thermoelastic Cattaneo model and the thermoelastic Gurtin–Pipkin model is established. The existence of the compact global attractor of the Cattaneo–Mindlin plate model is proved and its properties are studied.
Key words and phrases: second sound, asymptotic behavior, global attractor.
Received: 27.12.2011
Revised: 27.03.2012
Bibliographic databases:
Document Type: Article
MSC: 35B40, 45K05, 74D05
Language: English
Citation: T. B. Fastovska, “On the Long-Time Behavior of the Thermoelastic Plates with Second Sound”, Zh. Mat. Fiz. Anal. Geom., 9:2 (2013), 191–206
Citation in format AMSBIB
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\by T.~B.~Fastovska
\paper On the Long-Time Behavior of the Thermoelastic Plates with Second Sound
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2013
\vol 9
\issue 2
\pages 191--206
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3113460}
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