Asymptotic stability of Landau solutions to Navier-Stokes system
Analysis of PDEs
2011-04-20 v1
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 -perturbation.
Keywords
Cite
@article{arxiv.1104.3589,
title = {Asymptotic stability of Landau solutions to Navier-Stokes system},
author = {Grzegorz Karch and Dominika Pilarczyk},
journal= {arXiv preprint arXiv:1104.3589},
year = {2011}
}