English

Nonlinear instability for the Navier-Stokes equations

Analysis of PDEs 2016-08-16 v1

Abstract

It is proved, using a bootstrap argument, that linear instability implies nonlinear instability for the incompressible Navier-Stokes equations in LpL^p for all p(1,)p \in (1,\infty) and any finite or infinite domain in any dimension nn.

Keywords

Cite

@article{arxiv.math/0508173,
  title  = {Nonlinear instability for the Navier-Stokes equations},
  author = {Susan Friedlander and Nataša Pavlović and Roman Shvydkoy},
  journal= {arXiv preprint arXiv:math/0508173},
  year   = {2016}
}