The space $B_{\infty ,\infty }^{-1}$, volumetric sparseness, and 3D NSE

Aseel Farhat, Zoran Grujic, Keith Leitmeyer

In the context of the $L^{\infty }$-theory of the 3D NSE, it is shown that suitable smallness of a solution in Besov space $B_{\infty ,\infty }^{-1}$ suffices to prevent a possible blo…