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Finite-dimensional attractor for a composite system of wave/plate equations with localized damping

✍ Scribed by Bucci, Francesca; Toundykov, Daniel

Book ID
120446441
Publisher
Institute of Physics
Year
2010
Tongue
English
Weight
408 KB
Volume
23
Category
Article
ISSN
0951-7715

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✍ I. Lasiecka πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 917 KB

Asymptotic behavior of solutions to a fully nonlinear von KΓ‘rmΓ‘n 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 (