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Finite-Dimensional Attractors and Exponential Attractors for the Navier--Stokes Equations of Compressible Flow

✍ Scribed by Hoff, David; Ziane, Mohammed

Book ID
118200892
Publisher
Society for Industrial and Applied Mathematics
Year
2003
Tongue
English
Weight
266 KB
Volume
34
Category
Article
ISSN
0036-1410

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πŸ“œ SIMILAR VOLUMES

Compact attractors for the Navier-Stokes
Compact attractors for the Navier-Stokes equations of one-dimensional, compressible flow
✍ David Hoff; Mohammed Ziane πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 469 KB

We prove the existence of a compact attractor for the Navier-Stokes equations of compressible fluid flow in one space dimension. We also show that the large-time behavior of a given solution is entirely determined by its values for all time at a finite number of points, given in terms of a certain d

Finite-dimensional attractors and expone
Finite-dimensional attractors and exponential attractors for degenerate doubly nonlinear equations
✍ M. Efendiev; S. Zelik πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 244 KB

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