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.
Authors
- Nikulbhai Rajeshbhai Solanki
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
- Field-Weighted Citation Impact
- 0.00