THE GEOMETRIC LOCK PRINCIPLE: A SOLUTION TO THE NAVIER-STOKES REGULARITY PROBLEM

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

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Authors: Oleksandr Sakharuk
DOI: 10.5281/zenodo.18589337
Cited by: 0

Abstract

This research presents a formal proof of the global regularity of the 3D Navier-Stokes equations using the "Geometric Lock" principle. We demonstrate that the structural constraints of the fluid's velocity field prevent the formation of finite-time singularities, ensuring that the solution remains smooth for all time $t \ge 0$.

Fields of Study & Subjects

Navier-Stokes equation solutions Nonlinear Partial Differential Equations Advanced Mathematical Physics Problems

Publication details

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