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On the Kolmogorov entropy of the weak global attractor of 3D Navier-Stokes equations. I (Q521502)

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scientific article; zbMATH DE number 6704035
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English
On the Kolmogorov entropy of the weak global attractor of 3D Navier-Stokes equations. I
scientific article; zbMATH DE number 6704035

    Statements

    On the Kolmogorov entropy of the weak global attractor of 3D Navier-Stokes equations. I (English)
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    11 April 2017
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    The authors consider the weak global attractor of 3D Navier-Stokes equations. By introducing a metric function, which generate a weak topology on the weak global attractor, the upper bound is deduced for the Kolomorov entropy of the weak global attractor. Moreover, the upper bound is explicitly expressed in terms of the physical parameters of the fluid flow.
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    3D Navier-Stokes equations
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    weak global attractor
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    Kolomogorov entropy
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    functional dimension
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