On possible isolated blow-up phenomena of the 3D-Navier-Stokes equation and a regularity criterion in terms of supercritical function space condition and smoothness condition along the streamlines

Chi Hin Chan, Tsuyoshi Yoneda

The first goal of our paper is to give a new type of regularity criterion for solutions $u$ to Navier-Stokes equation in terms of some supercritical function space condition $u \in…