T. B. Fastovska, “On the Long-Time Behavior of the Thermoelastic Plates with Second Sound”, Zh. Mat. Fiz. Anal. Geom., 2013, Volume 9, Number 2,Pages <nobr>191

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

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.

MSC: 35B40, 45K05, 74D05

Received: 27.12.2011
Revised: 27.03.2012

Language: English