Solutions globales d'énergie infinie de l'équation de Navier-Stokes 2D

We study in this Note the solutions of the 2D Navier-Stokes equations with initial data in ∂BMO. For u|t=0 in the closure of the Schwartz class, we obtain the existence and uniqueness of a global solution, and besides an estimate on its norm in ∂BMO. To cite this article: P. Germain, C. R. Acad. Sci. Paris, Ser. I 340 (2005).