Asymptotic stability of Landau solutions to Navier-Stokes system

Details Asymptotic stability of Landau solutions to Navier-Stokes system Asymptotic stability of Landau solutions to Navier-Stokes system

2011-04-18

arxiv.org/abs/1104.3589v1

Mathematics

Analysis of PDEs

Scientific paper

10.1007/s00205-011-0415-1

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.

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