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paper

Existence globale de solutions d'energie infinie de l'equation de Navier-Stokes 2D

arXiv:math/0412160

Abstract

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.