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The aim is to explore the global regularity of three-dimensional incompressible Navier-Stokes equations under unbounded conditions.

April 22, 2026Open Access

An Exploratory Analysis of Finite-Time Singularities in Unbounded Three-Dimensional Navier-Stokes Flows: A Classical Scaling Approach

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The aim is to explore the global regularity of three-dimensional incompressible Navier-Stokes equations under unbounded conditions.
Analyzed the Navier-Stokes equations in an unbounded domain.
Modeled vortex stretching using continuous affine mapping.
Evaluated enstrophy density evolution along Lagrangian trajectories.
Derived a finite temporal coordinate T for singularity under specific conditions.
Showed that vortex stretching amplification outpaces viscous response leading to divergence.
Identified flaws in classical formulations that hinder finite-time divergence prevention.

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Exploratory analysis investigates finite-time singularities in Navier-Stokes flows, suggesting vital mathematical adjustments.

Nitin Dagar (2026) studied this question.

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