Rotationally corrected scaling invariant solutions to the Navier-Stokes   equations
  We introduce new classes of solutions to the three dimensional Navier-Stokes equations in the whole and half spaces that add rotational correction to self-similar and discretely self-similar solutions. We construct forward solutions in these new classes for arbitrarily large initial data in $L^3_w$ on the whole and half spaces. We also comment on the backward case. 
Zachary Bradshaw, Tai-Peng Tsai
math.AP