Constructing regular self-similar solutions to the 3D Navier-Stokes equations originating at singular and arbitrary large initial data
arXiv:math/0310155
Abstract
Global-in-time smooth self-similar solutions to the 3D Navier-Stokes equations are constructed emanating from homogeneous of degree -1 arbitrary large initial data belonging only to the closure of the test functions in the space of uniformly-locally square-integrable functions.
Submitted to Comm. PDE