On Local Regularity of Distributional Solutions to the Navier--Stokes Equations
Analysis of PDEs
2026-03-09 v1
Abstract
We provide a sharp result that guarantees that a distributional solution satisfying the Prodi-Serrin condition is regular in the spatial variables. The solution does not need to belong to the (local) Leray-Hopf class.
Keywords
Cite
@article{arxiv.2603.06349,
title = {On Local Regularity of Distributional Solutions to the Navier--Stokes Equations},
author = {GiovanniP. Galdi},
journal= {arXiv preprint arXiv:2603.06349},
year = {2026}
}