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A sharp lower bound for the Hausdorff dimension of the global attractors of the 2D Navier-Stokes equations

✍ Scribed by Vincent Xiaosong Liu

Publisher
Springer
Year
1993
Tongue
English
Weight
474 KB
Volume
158
Category
Article
ISSN
0010-3616

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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)

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