Long-time dynamics of a class of nonlocal extensible beams with time delay
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This work is devoted to the following nonlocal extensible beam equation with time delay: [Formula: see text] on a bounded smooth domain [Formula: see text]. The main purpose of this paper is to consider the long-time dynamics of the system. Under suitable assumptions, the quasi-stability property of the system is established, based on which the existence and regularity of a finite-dimensional compact global attractor are obtained. Moreover, the existence of exponential attractors is proved.
2017 ◽
Vol 49
(2)
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pp. 395-418
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2018 ◽
Vol 75
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pp. 128-134
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2017 ◽
Vol 49
(4)
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pp. 2468-2495
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1992 ◽
Vol 68
(11)
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pp. 1637-1640
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2021 ◽
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2019 ◽
Vol 234
(2)
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pp. 925-1006
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