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Asymptotic behavior to a von Kármán plate with boundary memory conditions

✍ Scribed by J.E. Muñoz Rivera; H. Portillo Oquendo; M.L. Santos

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
271 KB
Volume
62
Category
Article
ISSN
0362-546X

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✦ Synopsis

In this paper, we study the stability of solutions to a von Kármán system for Kirchhoff plate equations with a memory condition working at the boundary. We show that such dissipation is strong enough to produce exponential decay of the solution provided the relaxation functions also decay exponentially. When the relaxation functions decay polynomially, we show that the solution decays polynomially.

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✍ I. Lasiecka 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 917 KB

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 (