𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the Hausdorff dimension of an attractor for the two-dimensional Navier-Stokes equations

✍ Scribed by Ciprian Foias; Roger Temam

Book ID
107986550
Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
258 KB
Volume
93
Category
Article
ISSN
0375-9601

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Optimal bounds on the dimension of the a
Optimal bounds on the dimension of the attractor of the Navier-Stokes equations
✍ Mohammed Ziane πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 718 KB

In this article we derive optimal upper bounds on the dimension of the attractor for the Navier-Stokes equations in twodimensional domains, these bounds fully agree with the lower bounds obtained by Babin and Vishik (1983) (see also Ghidaglia and Temam, and Liu (1993)). As in Babin and Vishik (1983)

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