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The Navier–Stokes Existence and Smoothness Problem and the Principle of Feedback and Scale Barrier

Year: 2026

Type: preprint

Abstract: This study presents a demonstration of the Navier–Stokes existence and smoothness problem, based on the Principle of Feedback and Scale Barrier. As the structure contracts toward smaller scales, viscous diffusion becomes stronger and eventually limits this contraction. This mechanism creates a scale barrier that prevents the evolution toward a singularity.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.22713763

Author: Diao, Ahmadou Moustapha

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7212276746

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