$L^2$-asymptotic stability of mild solutions to Navier-Stokes system in $R^3$ (1308.6667v1)

Abstract: We consider global-in-time small mild solutions of the initial value problem to the incompressible Navier-Stokes equations in $R^3$. For such solutions, an asymptotic stability is established under arbitrarily large initial $L^2$-perturbations.