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

Gregory Seregin

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arXiv · 1906.06707

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

Gregory Seregin

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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].

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Gregory Seregin. 2019-06-16. A note on weak solutions to the Navier-Stokes equations that are locally in $L_\infty(L^{3,\infty})$. https://arxiv.org/abs/1906.06707

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