Search for finite dimensional attractors in atmospheric turbulence
✍ Scribed by Rudolf O. Weber; Peter Talkner; Gérard Stefanicki; Luc Arvisais
- Publisher
- Springer
- Year
- 1995
- Tongue
- English
- Weight
- 793 KB
- Volume
- 73
- Category
- Article
- ISSN
- 0006-8314
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## 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
The asymptotic behavior of the flow for a system of the Navier Stokes type is investigated. In the considered model, the viscous part of the stress tensor is generally a nonlinear function of the symmetric part of the velocity gradient. Provided that the function describing this dependence satisfies