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Hausdorff dimension of attractors for the two-dimensional navier-stokes equations with boundary conditions

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Abstract

We consider a viscous incompressible fluid enclosed in a region of IR2, and subject to boundary conditions. We obtain explicit bounds (depending only on the data) for the entropy (Kolmogorov-Sinaï invariant) and the Hausdorff dimension of attracting sets.

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Authors and Affiliations

  1. Direction de l'Aérodynamique, O.N.E.R.A., B.P. 72, F-92322, Châtillon Cedex, France

    André Lafon

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  1. André Lafon
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Additional information

Communicated by O. E. Lanford

This work has been mostly performed at Centre de Physique Théorique, Ecole Polytechnique, F-91128 Palaiseau Cédex

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Lafon, A. Hausdorff dimension of attractors for the two-dimensional navier-stokes equations with boundary conditions. Commun.Math. Phys. 105, 519–526 (1986). https://doi.org/10.1007/BF01238931

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  • DOI: https://doi.org/10.1007/BF01238931

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