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Эта публикация цитируется в 2 научных статьях (всего в 2 статьях)
Regular global attractors for wave equations with degenerate memory
Joseph L. Shomberg Department of Mathematics and Computer Science, Providence College,
Providence, RI 02918, USA
Аннотация:
We consider the wave equation with degenerate viscoelastic dissipation recently examined in Cavalcanti, Fatori, and Ma, Attractors for wave equations with degenerate memory, J. Differential Equations (2016). Under certain extra assumptions (namely on the nonlinear term), we show the existence of a compact attracting set which provides further regularity for the global attractor and show that it consists of regular solutions
Ключевые слова:
degenerate viscoelasticity, relative displacement history, nonlinear wave equation, critical exponent, regular global attractor.
Образец цитирования:
Joseph L. Shomberg, “Regular global attractors for wave equations with degenerate memory”, Ural Math. J., 5:1 (2019), 59–82
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/umj75 https://www.mathnet.ru/rus/umj/v5/i1/p59
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Страница аннотации: | 121 | PDF полного текста: | 119 | Список литературы: | 34 |
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