A note on weak solutions to the Navier–Stokes equations that are locally in 𝐿_{∞}(𝐿^{3,∞})

The objective of the note is to prove a regularity result for weak solutions to the Navier–Stokes equations that are locally in L ∞ ( L 3 , ∞ ) L_\infty (L^{3,\infty }) . It reads that, in a sense, the number of singular points at each time is at most finite. This note is inspired by a recent paper of H. J. Choe, J. Wolf, M. Yang.