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Navier-Stokes Equations with Lower Bounds on the Pressure

✍ Scribed by G. Seregin; V. Šverák


Publisher
Springer
Year
2002
Tongue
English
Weight
145 KB
Volume
163
Category
Article
ISSN
0003-9527

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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)