On regularity and singularity for $L^{\infty }(0,T;L^{3,w}({\mathbb{R}}^3))$ solutions to the Navier-Stokes equations

Hi Jun Choe, Jörg Wolf, Minsuk Yang

We study local regularity properties of a weak solution $u$ to the Cauchy problem of the incompressible Navier-Stokes equations. We present a new regularity criterion for the weak…