Mild criticality breaking for the Navier-Stokes equations (Q2036463)

The main result is the blowup criterion for weak (Leray-Hopf) solutions of the three-dimensional Navier-Stokes equations which says that if a solution loses regularity at a finite moment, then an Orlicz norm slightly weaker than \(L^3\) blows up (a similar to that conjectured by T. Tao). This is a consequence of a slightly supercritical a priori estimate of weak solutions, the so-called mild supercritical regularity.