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Nonlinear instability for the Navier-Stokes equations

Susan Friedlander·Nataša Pavlović·Roman Shvydkoy
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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 $n$.

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Susan Friedlander, Nataša Pavlović, Roman Shvydkoy. 2005-08-09. Nonlinear instability for the Navier-Stokes equations. https://doi.org/10.1007/s00220-006-1526-7

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