Attractors for a plate equation with nonlocal nonlinearities |
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Authors: | Vando Narciso |
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Affiliation: | Núcleo de Ciências Exatas e Tecnológicas, Unidade de Dourados, Universidade Estadual de Mato Grosso do Sul, Dourados, MS, Brazil |
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Abstract: | This paper contains results on well‐posedness, stability, and long‐time behavior of solutions to a class of plate models subject to damping and source terms given by the product of two nonlinear components [EQUATION1] where Ω is a bounded open set of R n with smooth boundary, γ ,ρ ?0 and are nonlocal functions. The main result states that the dynamical system {S (t )}t ?0 associated with this problem has a compact global attractor. In addition, in the limit case γ = 0, it is also shown that {S (t )}t ?0 has a finite dimensional global attractor by using an approach on quasi‐stability because of Chueshov–Lasiecka (2010). Copyright © 2017 John Wiley & Sons, Ltd. |
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Keywords: | long‐time behavior global attractor nonlocal plate equation |
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