On Singular Limit and Upper Semicontinuous Family of Attractors of Thermoviscoelastic Berger Plate

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2010
• Main Author: Potomkin, M.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2010
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/106648
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On Singular Limit and Upper Semicontinuous Family of Attractors of Thermoviscoelastic Berger Plate / M. Potomkin // Журнал математической физики, анализа, геометрии. — 2010. — Т. 6, № 3. — С. 305-336. — Бібліогр.: 25 назв. — англ.

A system of partial differential equations with integral terms which take into account hereditary effects is considered. The system describes a behaviour of thermoviscoelastic plate with Berger's type of nonlinearity. The hereditary effect is taken into account both in the temperature variable...