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Article, Moscow, 2006
Authors: Ilyin A. A.
Lieb–Thirring Integral Inequalitiesand Sharp Bounds for the Dimension of the Attractorof the Navier–Stokes Equations with Friction
A two-dimensional Navier–Stokes system with friction is considered in a large rectangularperiodic domain with area on the order of α−1, α → 0. Bounds for the dimension ofthe attractor are obtained, which are sharp both as α → 0 and ν → 0, where ν is the viscositycoefficient.
Publication language: russian
Research direction:
Mathematical modelling in actual problems of science and technics
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