Several refined regularity criteria for the Navier–Stokes equations
Volume 133 / 2024
Annales Polonici Mathematici 133 (2024), 71-80
MSC: Primary 35Q30; Secondary 76D03
DOI: 10.4064/ap231210-11-9
Published online: 14 October 2024
Abstract
We establish several refined regularity criteria for the Navier–Stokes equations. Specifically, these criteria require only the control of any two of the velocity gradient functions $\partial _1u_1$, $\partial _2u_2$, and $\partial _3u_3$ in critical spaces.
