Article Global Regularity as a Structural Question – Dimensional Stability and the Scope of Classical Formulations

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Authors: HIDEYUKI CHINO
Cited by: 0

Abstract

This manuscript analyzes the Navier–Stokes global regularity problem as a structural question concerning stability, dimensionality, and representational limits. Rather than proposing a direct solution to the Clay Millennium Problem, the paper investigates why the problem persists by examining the interaction between continuum formulations and fluctuation-driven instabilities. The work suggests that the unresolved status of the Navier–Stokes problem reflects a deeper mismatch between classical formulations and the structural conditions required for global stability. This manuscript is currently under review at Foundations of Physics.

Fields of Study & Subjects

Navier-Stokes equation solutions Fluid Dynamics and Turbulent Flows Computational Fluid Dynamics and Aerodynamics

Publication details

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