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

Seregin, G.

doi:10.1090/spmj/1662

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

St. Petersburg Math. J. 32, 565-576

DOI: https://doi.org/10.1090/spmj/1662

Published electronically: May 11, 2021

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Abstract:

The objective of the note is to prove 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. This note is inspired by a recent paper of H. J. Choe, J. Wolf, M. Yang.

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