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Wavelet transforms of the Navier-Stokes equations and the generalized dimensions of turbulence

✍ Scribed by Lewalle, Jacques

Publisher
Springer
Year
1993
Tongue
English
Weight
220 KB
Volume
51
Category
Article
ISSN
0003-6994

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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)