Nonlinear instability for the Navier-Stokes equations
classification
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keywords
instabilityequationsnavier-stokesnonlinearargumentbootstrapdimensiondomain
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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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