Stabilité et asymptotique en temps grand de solutions globales des équations de Navier-Stokes
Isabelle Gallagher, Dragoş Iftimie, Fabrice Planchon (2002)
Journées équations aux dérivées partielles
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We study a priori global strong solutions of the incompressible Navier-Stokes equations in three space dimensions. We prove that they behave for large times like small solutions, and in particular they decay to zero as time goes to infinity. Using that result, we prove a stability theorem showing that the set of initial data generating global solutions is open.