Existence globale de solutions d'energie infinie de l'equation de   Navier-Stokes 2D
  We study in this article the solutions of the Navier-Stokes equations, with initial data in the closure of the Schwartz class in BMO-1. For such intial data, we obtain the existence and uniqueness of a global solution, and an estimate on its norm in BMO-1. 
Pierre Germain (CMLS Ecole Polytechnique)