Global Regularity of Band-Limited Navier–Stokes Equations

Zenodo (CERN European Organization for Nuclear Research) 2026 Preprint Open access

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Authors: Łukasz Bojanowski
DOI: 10.5281/zenodo.18269782
Cited by: 0

Abstract

This short technical note proves global regularity for a spectrally truncated (band-limited) version of the three-dimensional incompressible Navier–Stokes equations. The result is elementary and relies on standard energy estimates and the Bernstein inequality. The purpose of the note is pedagogical: to clarify why access to arbitrarily high frequencies is essential for potential singularity formation in the full Navier–Stokes equations.

Fields of Study & Subjects

Navier-Stokes equation solutions Advanced Mathematical Physics Problems Fluid Dynamics and Turbulent Flows

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
16 January 2026
Language
EN
Document type
Preprint