On the Long-Time Behavior of the Thermoelastic Plates with Second Sound
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. Установлена зависимость между моделями термоупругости Каттанео и...
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| Published in: | Журнал математической физики, анализа, геометрии |
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| Date: | 2013 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2013
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/106745 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On the Long-Time Behavior of the Thermoelastic Plates with Second Sound / T.B. Fastovska // Журнал математической физики, анализа, геометрии. — 2013. — Т. 9, № 2. — С. 191-206. — Бібліогр.: 14 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | 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.
Установлена зависимость между моделями термоупругости Каттанео и Гертина-Пипкина. Доказано существование компактного глобального аттрактора модели термоупругости Каттанео-Миндлина и изучены его свойства.
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| ISSN: | 1812-9471 |