A note on weak solutions to the Navier-Stokes equations that are locally in $L_{\infty }(L^{3,\infty })$

Abstract

The aim of the note is to proof a regularity result for weak solutions to the Navier-Stokes equations that are locally in $L_{\infty }(L^{3,\infty })$. It reads that, in a sense, the number of singular points at each time is at most finite. Our note is inspired by the paper of H. J. Choe, J. Wolf, M. Yang [1].

18 pages

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