A Geometric Framework for the Global Regularity of the 3d Navier-stokes Equations Via Intrinsic Topological Back-reaction
Year: 2026
Type: conference-paper
Abstract: In this paper, we establish the global regularity of thethree-dimensional incompressible Navier-Stokes equations. Relying onstandard Littlewood-Paley decomposition and novel Calderón-Zygmundcommutator estimates applied to the pressure Hessian, we derive a timeindependenta priori bound for the Hm Sobolev norms. Furthermore,we demonstrate that the nonlinear vortex stretching term is strictlycontrolled by a spectral cutoff. By proving these higher-order estimates,we show that classical Leray-Hopf weak solutions remain globally smooth,unique, and are asymptotically confined to a finite-dimensional globalattractor.
Author: SARICI, Efe
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7118019159
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