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Improved bounds for box dimensions of potential singular points to the Navier–Stokes equations

Improved bounds for box dimensions of potential singular points to the Navier–Stokes equations

In this paper, we study the potential singular points of interior and boundary suitable weak solutions to the 3D Navier--Stokes equations. It is shown that upper box dimension of interior singular points and boundary singular points are bounded by $7/6$ and $10/9$, respectively. Both proofs rely on recent progress of …