Kolmogorov’s dissipation wavenumber and determining wavenumber – Mimi Dai (University of Illinois at Chicago, Institute for Advanced Study, Princeton)

February 15, 2022 @ 4:00 pm – 5:00 pm
Seminar Room 1
Newton Institute

Taking account of the intermittency effect, we introduce the notion of determining wavenumber for a turbulent vector field without any assumption on the regularity. The time average of the determining wavenumber is shown to be bounded by Kolmogorov’s dissipation wavenumber $K_d$. It provides a rigorous justification of Kolmogorov’s prediction that the wavenumber $K_d$ separates the inertial range from the dissipation range. Inspirations for the regularity theory of the Navier-Stokes equation will be also discussed.

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