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
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 (
## 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