On a theorem by Sohr for the Navier-Stokes equations
The authors study some criteria for the full (space-time) regularity of weak solutions to the Navier-Stokes equations. In particular, some classical and very recent criteria involving the velocity, or its derivates are generalized. More spoecifically, it is shown with elementary tools that if a weak solution, or its vorticity, is small in appropriate Marcinkiewicz spaces, then it is regular.
scientific article; zbMATH DE number 2103744