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 on the whole and half-spaces. As a special case, this gives a construction of self-similar and discretely self-similar solutions on the half-space. We also comment on the backward case.