Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2026
|
| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2604.03519 |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
Sommario:
- We study axis regularity for the three-dimensional axisymmetric incompressible Navier--Stokes equations through a five-dimensional radial lift with weighted measure \[ dμ_5=r^3\,dr\,dz. \] In this formulation the axis problem is reduced to three weighted unit-cylinder estimates: a Hardy--Campanato decay estimate for the singular parabolic core, a weighted Friedrichs--Poincaré estimate for the renormalized vorticity branch, and a localized weighted quartic estimate for the swirl source. The distinguished corridor \[ α\in\left(\frac34,1\right) \] is the range singled out by the scaling analysis of the lifted problem. The main theorem is stated in unconditional form; the remaining unit-scale constants are treated as certified numerical inputs and are recorded in Appendix~A. The body of the paper presents the full analytic reduction from these weighted estimates to a contractive Morrey iteration at the axis.