An optimal upper bound on the determining wavenumber for 3D Navier-Stokes Equations

Nonlinear Differential Equations and Applications NoDEA 2026 Open access

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Authors: Alexey Cheskidov, Qirui Peng
DOI: 10.1007/s00030-026-01232-0
Cited by: 0

Abstract

Abstract We introduce a determining wavenumber for weak solutions of 3D Navier-Stokes equations whose time average is bounded by Kolmogorov’s dissipation wavenumber over the whole range of intermittency dimensions, confirming Landau’s prediction for the number of degrees of freedom in a turbulent fluid flow. This improves previous works [4] and [6].

Fields of Study & Subjects

Stability and Controllability of Differential Equations Advanced Numerical Methods in Computational Mathematics Computational Fluid Dynamics and Aerodynamics

Publication details

Journal / source
Nonlinear Differential Equations and Applications NoDEA
Volume
33
Issue
4
Publication date
2 June 2026
Language
EN