This proof demonstrates global regularity in fluid dynamics, indicating advancements in understanding fluid behavior.
"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∞ 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 R³. The framework incorporates High-Low Frequency Splitting and maps topological phase cancellations to the structural symmetries of Vedic Mathematics."
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Nikulbhai Rajeshbhai Solanki (2026) studied this question.
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