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arXiv · 2603.06349

On Local Regularity of Distributional Solutions to the Navier--Stokes Equations

GiovanniP. Galdi
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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.

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GiovanniP. Galdi. 2026-03-06. On Local Regularity of Distributional Solutions to the Navier--Stokes Equations. https://arxiv.org/abs/2603.06349

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