Nonlinear instability for the Navier-Stokes equations

Details Nonlinear instability for the Navier-Stokes equations Nonlinear instability for the Navier-Stokes equations

2005-08-09

arxiv.org/abs/math/0508173v1

Mathematics

Analysis of PDEs

Scientific paper

10.1007/s00220-006-1526-7

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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