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Bounds on Kolmogorov spectra for the Navier–Stokes equations

✍ Scribed by Andrei Biryuk; Walter Craig


Book ID
113850815
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
362 KB
Volume
241
Category
Article
ISSN
0167-2789

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Optimal bounds on the dimension of the a
✍ Mohammed Ziane 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 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)