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Asymptotic stability of Landau solutions to Navier-Stokes system (1104.3589v1)

Published 18 Apr 2011 in math.AP

Abstract: It is known that the three dimensional Navier-Stokes system for an incompressible fluid in the whole space has a one parameter family of explicit stationary solutions, which are axisymmetric and homogeneous of degree -1. We show that these solutions are asymptotically stable under any $L^{2$-perturbation.}