Lieb-thirring integral inequalities and sharp bounds for the dimension of the attractor of the Navier-Stokes equations with friction |
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| Authors: | A. A. Ilyin |
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| Affiliation: | (1) Keldysh Institute for Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4, Moscow, 125047, Russia |
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| Abstract: | A two-dimensional Navier-Stokes system with friction is considered in a large rect-angular periodic domain with area on the order of α?1, α → 0. Bounds for the dimension of the attractor are obtained, which are sharp both as α → 0 and v → 0, where v is the viscosity coefficient. |
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