Announcement of a Proof: The Nikul-Navier-Stokes Protocol for 3D Global Regularity

The global regularity of the 3D incompressible Navier-Stokes equations for large initial data is a foundational open problem in fluid mechanics. This paper announces a rigorous analytical framework, the Nikul-Navier-Stokes Protocol, establishing global C^{\infty} regularity. By embedding the velocity field u(x,t) in a continuous time-weighted Nikul-Gevrey space and utilizing the explicit Topological Regularized Helicity Operator, we prove that non-linear vortex stretching is strictly quenched by viscous dissipation in \mathbb{R}^{3}. The framework incorporates High-Low Frequency Splitting and maps topological phase cancellations to the structural symmetries of Vedic Mathematics.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-04-25
DOI
https://doi.org/10.5281/zenodo.19757206
Primary Topic
Navier-Stokes equation solutions
Type
article
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article

Announcement of a Proof: The Nikul-Navier-Stokes Protocol for 3D Global Regularity

Nikulbhai Rajeshbhai Solanki
Zenodo (CERN European Organization for Nuclear Research)
Navier-Stokes equation solutions
article

Announcement of a Proof: The Nikul-Navier-Stokes Protocol for 3D Global Regularity

Nikulbhai Rajeshbhai Solanki
article en

Abstract

No abstract available for this paper.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 3%
Navier-Stokes equation solutions
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