On Endpoint Regularity Criterion of the 3D Navier-Stokes equations

Zhouyu Li, Daoguo Zhou

Let $(u,\pi )$ with $u=(u_1,u_2,u_3)$ be a suitable weak solution of the three dimensional Navier-Stokes equations in ${\mathbb{R}}^3\times [0,T]$. Denote by $\dot{\mathcal{B}}^{-1}_{…