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arXiv · 1210.2790

A smallness regularity criterion for the 3D Navier-Stokes equations in the largest class

Zujin Zhang
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Abstract

In this paper, we consider the three-dimensional Navier-Stokes equations, and show that if the $\dot B^{-1}_{\infty,\infty}$-norm of the velocity field is sufficiently small, then the solution is in fact classical.

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Zujin Zhang. 2012-10-10. A smallness regularity criterion for the 3D Navier-Stokes equations in the largest class. https://arxiv.org/abs/1210.2790

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