P. Auscher, S. Dubois, and P. Tchamitchian, On the stability of global solutions to Navier???Stokes equations in the space, Journal de Math??matiques Pures et Appliqu??es, vol.83, issue.6, pp.673-697, 2004.
DOI : 10.1016/j.matpur.2004.01.003

H. Bahouri and P. Gérard, High Frequency Approximation of Solutions to Critical Nonlinear Wave Equations, American Journal of Mathematics, vol.121, issue.1, pp.131-175, 1999.
DOI : 10.1353/ajm.1999.0001

M. Cannone, Y. Meyer, and F. Planchon, Solutions autosimilaires deséquationsdeséquations de Navier-Stokes, Séminaire " ´ Equations aux Dérivées Partielles, 1993.

J. Chemin, Fluides parfaits incompressibles, Astérisque English translation Perfect Incompressible Fluids, 1995.

J. Chemin, Th??or??mes d???unicit?? pour le syst??me de navier-stokes tridimensionnel, Journal d'Analyse Math??matique, vol.63, issue.(4), pp.27-50, 1999.
DOI : 10.1007/BF02791256

J. Chemin, Localization in Fourier space and Navier-Stokes system, Phase Space Analysis of Partial Differential Equations, Proceedings 2004, CRM series, pp.53-136

J. Chemin and I. Gallagher, On the global wellposedness of the 3-D Navier???Stokes equations with large initial data, Annales Scientifiques de l?????cole Normale Sup??rieure, vol.39, issue.4
DOI : 10.1016/j.ansens.2006.07.002
URL : https://hal.archives-ouvertes.fr/hal-00008043

H. Fujita and T. Kato, On the Navier-Stokes initial value problem I, Archive for Rational Mechanics and Analysis, pp.269-315, 1964.

I. Gallagher, Profile decomposition for solutions of the Navier-Stokes equations, Bulletin de la Société mathématique de France, vol.129, issue.2, pp.285-316, 2001.
DOI : 10.24033/bsmf.2398

I. Gallagher, D. Iftimie, and F. Planchon, Asymptotics and stability for global solutions to the Navier? Stokes equations, Annales de l'Institut Fourier, pp.1387-1424, 2003.

P. Gérard, Description du défaut de compacité de l'injection de Sobolev, ESAIM Contrôle Optimal et Calcul des Variations, pp.213-233, 1998.

Y. Giga and T. Miyakawa, Solutions in Lr of the Navier-Stokes initial value problem, Archive for Rational Mechanics and Analysis, vol.74, issue.3, pp.267-281, 1985.
DOI : 10.1007/BF00276875

T. Kato, StrongL p -solutions of the Navier-Stokes equation inR m , with applications to weak solutions, Mathematische Zeitschrift, vol.74, issue.4, pp.471-480, 1984.
DOI : 10.1007/BF01174182

H. Koch and D. Tataru, Well-posedness for the Navier???Stokes Equations, Well?posedness for the Navier?Stokes equations, pp.22-35, 2001.
DOI : 10.1006/aima.2000.1937

P. Lemarié-rieusset, Recent developments in the Navier-Stokes problem, Chapman & Hall/CRC Research Notes in Mathematics, vol.431, 2002.
DOI : 10.1201/9781420035674

J. Leray, Sur le mouvement d'un liquide visqueux emplissant l'espace, Acta Mathematica, vol.63, issue.0, pp.193-248, 1933.
DOI : 10.1007/BF02547354