On some regularity criteria for axisymmetric Navier-Stokes equations

Joanna Rencławowicz, Wojciech M. Zajączkowski

We point out some criteria that imply regularity of axisymmetric solutions to Navier-Stokes equations. We show that boundedness of $\|{v_{r}}/{\sqrt{r^3}}\|_{L_2({\rm R}^3\times (0…