# Nonlinear instability for the Navier-Stokes equations

Research paper by Susan Friedlander, Nataša Pavlović, Roman Shvydkoy

Indexed on: 09 Aug '05Published on: 09 Aug '05Published in: Mathematics - Analysis of PDEs

#### Abstract

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