Announcement of a Proof: Nikul the Real Equation 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 extended preprint announces a rigorous analytical framework, Nikul the Real Equation, 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 Helicity Operator constrained strictly by the Cauchy-Schwarz inequality, we prove that non-linear vortex stretching is mathematically quenched. The framework incorporates Littlewood-Paley splitting and aligns topological phase cancellations with structural symmetries.
Authors
- Nikulbhai Rajeshbhai Solanki
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-04-26
- DOI
- https://doi.org/10.5281/zenodo.19786996
- Primary Topic
- Navier-Stokes equation solutions
- Type
- article
- Field-Weighted Citation Impact
- 0.00