T. B. Fastovska, “On the Long-Time Behavior of the Thermoelastic Plates with Second Sound”, Журн. матем. физ., анал., геом., 2013, том 9, номер 2,страницы 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

Аннотация: 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.

Ключевые слова и фразы: second sound, asymptotic behavior, global attractor.

MSC: 35B40, 45K05, 74D05

Поступила в редакцию: 27.12.2011
Исправленный вариант: 27.03.2012

Язык публикации: английский