Regularity of Forward-in-time Self-similar Solutions to the 3d Navier-stokes Equations

@inproceedings{Grujic2005RegularityOF,
  title={Regularity of Forward-in-time Self-similar Solutions to the 3d Navier-stokes Equations},
  author={Z. Grujic},
  year={2005}
}
Any forward-in-time self-similar (localized-in-space) suitable weak solution to the 3D Navier-Stokes equations is shown to be infinitely smooth in both space and time variables. As an application, a proof of infinite space and time regularity of a class of a priori singular small self-similar solutions in the critical weak Lebesgue space L3,∞ is given.