Exact Reduction and Equivalence for an Internal Phase-Reorganization Interpretation of 3D Navier–Stokes
Fuente:
Zenodo
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Recurso digital |
| Veröffentlicht: |
Zenodo
2026
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866902217785606144 |
|---|---|
| author | Yoshida |
| author_facet | Yoshida |
| contents | <p><code>This preprint gives a mathematically explicit formulation of an internal phase-reorganization interpretation for the three-dimensional incompressible Navier–Stokes equations. It proves exact reduction and equivalence results showing that any such interpretation resolves finite-time singularity scenarios only by producing a strong trace in the classical Sobolev state space at each finite candidate singular time. The paper also introduces a normalized vortex-stretching observable, records the BKM-type vorticity barrier, and clarifies the role of admissibility predicates and intrinsic-time reparameterizations within the original Navier–Stokes variables.</code></p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19504240 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Exact Reduction and Equivalence for an Internal Phase-Reorganization Interpretation of 3D Navier–Stokes Yoshida Navier-Stokes equations global regularity finite-time singularity Sobolev continuation vorticity vortex stretching phase reorganization exact reduction equivalence theorem <p><code>This preprint gives a mathematically explicit formulation of an internal phase-reorganization interpretation for the three-dimensional incompressible Navier–Stokes equations. It proves exact reduction and equivalence results showing that any such interpretation resolves finite-time singularity scenarios only by producing a strong trace in the classical Sobolev state space at each finite candidate singular time. The paper also introduces a normalized vortex-stretching observable, records the BKM-type vorticity barrier, and clarifies the role of admissibility predicates and intrinsic-time reparameterizations within the original Navier–Stokes variables.</code></p> |
| title | Exact Reduction and Equivalence for an Internal Phase-Reorganization Interpretation of 3D Navier–Stokes |
| topic | Navier-Stokes equations global regularity finite-time singularity Sobolev continuation vorticity vortex stretching phase reorganization exact reduction equivalence theorem |
| url | https://doi.org/10.5281/zenodo.19504240 |