Title:
On the regularity of weak solutions of the 3D Navier-Stokes equations
in the largest critical space.

Abstract:
Since the pioneering work of Leray, the problem of regularity
of weak solutions to the 3D Navier-Stokes equations has been
a subject of serious investigation. We will review some classical
regularity results and prove extensions of the
Leray-Ladyzhenskaya-Prodi-Serrin criteria in Besov spaces.