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On the finiteness of the dimension of bounded invariant sets for the Navier-Stokes equations and other dissipative systems

✍ Scribed by Ladyzenskaya, O. A.


Publisher
Springer-Verlag
Year
1982
Weight
29 KB
Volume
52
Category
Article
ISSN
0370-7377

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Optimal bounds on the dimension of the a
✍ 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)