PreprintCC BY 4.0Zenodo
Global Analytic Gevrey Regularity, Solenoidal Feshbach–Schur Dissipation, and Non-Commutative Spectral Turbulence in 3D Incompressible Rotating Navier–Stokes Flows
Abstract
We establish the non-perturbative mathematical, functional, and computational resolution of the three-dimensional incompressible Navier–Stokes equations in rotating reference frames, the closure of turbulent Reynolds stresses, and the physics of the 2D/3D dual energy cascade. We formulate fluid mechanics upon the discrete Tetrahedral Quantum Point (TQP) simplicial mesh over the global Adèle Class Space \mathbb{X}_{\mathbb{Q}} \equiv \mathbb{A}_{\mathbb{Q}}/\mathbb{Q}^\times, establishing a formal Two-Tier Demarcation between unregularized mathematical continuum models (\theta = 0) and physical fluid dynamics on the discrete substrate (\theta = \theta^* > 0)
Related
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BibTeX
@misc{tudor2026global,
title = {{Global Analytic Gevrey Regularity, Solenoidal Feshbach–Schur Dissipation, and Non-Commutative Spectral Turbulence in 3D Incompressible Rotating Navier–Stokes Flows}},
author = {August Tudor},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23547050},
url = {https://zenodo.org/records/23547050},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Global Analytic Gevrey Regularity, Solenoidal Feshbach–Schur Dissipation, and Non-Commutative Spectral Turbulence in 3D Incompressible Rotating Navier–Stokes Flows
AU - August Tudor
PY - 2026
DA - 2026/10/21
PB - Zenodo
DO - 10.5281/zenodo.23547050
UR - https://zenodo.org/records/23547050
AB - We establish the non-perturbative mathematical, functional, and computational resolution of the three-dimensional incompressible Navier–Stokes equations in rotating reference frames, the closure of turbulent Reynolds stresses, and the physics of the 2D/3D dual energy cascade. We formulate fluid mechanics upon the discrete Tetrahedral Quantum Point (TQP) simplicial mesh over the global Adèle Class Space \mathbb{X}_{\mathbb{Q}} \equiv \mathbb{A}_{\mathbb{Q}}/\mathbb{Q}^\times, establishing a formal Two-Tier Demarcation between unregularized mathematical continuum models (\theta = 0) and physical fluid dynamics on the discrete substrate (\theta = \theta^* > 0)
ER -