Announcement of a Proof: Nikul the Real Equation for 3D Global Regularity
Year: 2026
Type: article
Abstract: 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.
Author: Solanki, Nikulbhai Rajeshbhai
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7155678614
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