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Finite-Dimensionality of Attractors Associated with von Kármán Plate Equations and Boundary Damping

✍ Scribed by I. Lasiecka

Publisher: Elsevier Science
Year: 1995
Tongue: English
Weight: 917 KB
Volume: 117
Category: Article
ISSN: 0022-0396
DOI: 10.1006/jdeq.1995.1057

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✦ Synopsis

Asymptotic behavior of solutions to a fully nonlinear von Kármán system is considered. The existence of compact attractors in the presence of nonlinear boundary damping is established. It is also shown that in the case of linear boundary dissipation, this attractor is of finite Hausdorff dimension (with explicit estimates of the dimension).

1995 Academic Press. Inc

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