English

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

Analysis of PDEs 2013-09-02 v1

Abstract

We consider global-in-time small mild solutions of the initial value problem to the incompressible Navier-Stokes equations in R3R^3. For such solutions, an asymptotic stability is established under arbitrarily large initial L2L^2-perturbations.

Keywords

Cite

@article{arxiv.1308.6667,
  title  = {$L^2$-asymptotic stability of mild solutions to Navier-Stokes system in $R^3$},
  author = {Grzegorz Karch and Dominika Pilarczyk and Maria E. Schonbek},
  journal= {arXiv preprint arXiv:1308.6667},
  year   = {2013}
}

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26 pages