Asymptotics and stability for global solutions to the Navier-Stokes equations
Isabelle Gallagher, Dragos Iftimie, Fabrice Planchon (2003)
Annales de l’institut Fourier
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We consider an a priori global strong solution to the Navier-Stokes equations. We prove it behaves like a small solution for large time. Combining this asymptotics with uniqueness and averaging in time properties, we obtain the stability of such a global solution.