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On the Kolmogorov entropy of the weak global attractor of 3D Navier-Stokes equations:Ⅰ

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  • One particular metric that generates the weak topology on the weak global attractor $\mathcal{A}_w$ of three dimensional incompressible Navier-Stokes equations is introduced and used to obtain an upper bound for the Kolmogorov entropy of $\mathcal{A}_w$. This bound is expressed explicitly in terms of the physical parameters of the fluid flow.

    Mathematics Subject Classification: 35Q30, 76D05, 34G20, 37L05, 37L25.


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