Grzegorz Karch, Dominika Pilarczyk
Published 2011-04-18Version 1
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.
$L^2$-asymptotic stability of mild solutions to Navier-Stokes system in $R^3$
Asymptotic stability of Oseen vortices for a density-dependent incompressible viscous fluid
Asymptotic stability of harmonic maps under the Schrödinger flow
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