Small ${\dot{B}}_{\infty ,\infty }^{-1}$ implies regularity

Abstract

We show that smallness of ${\dot{B}}_{\infty ,\infty }^{-1}$ norm of solution to $d$-dimensional ($d\ge 3$) incompressible Navier-Stokes prevents blowups.

arXiv comment3 pages

References in corpus (2)

• Vortex stretching and criticality for the 3D NSE
• The space $B_{\infty ,\infty }^{-1}$, volumetric sparseness, and 3D NSE