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Finite dimensionality and compactness of attractors for von Karman equations with nonlinear dissipation

✍ Scribed by Irena Lasiecka


Publisher
SP Birkhäuser Verlag Basel
Year
1999
Tongue
English
Weight
270 KB
Volume
6
Category
Article
ISSN
1021-9722

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📜 SIMILAR VOLUMES


Finite-Dimensionality of Attractors Asso
✍ 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 (

Finite-dimensional attractors and expone
✍ M. Efendiev; S. Zelik 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 244 KB

## Abstract We consider the following doubly nonlinear parabolic equation in a bounded domain Ω⊂ℝ^3^: where the nonlinearity __f__ is allowed to have a degeneracy with respect to ∂~__t__~__u__ of the form ∂~__t__~__u__|∂~__t__~__u__|^__p__^ at some points __x__∈Ω. Under some natural assumptions o