A certain necessary condition of potential blow up for Navier-Stokes equations

Details A certain necessary condition of potential blow up for Navier-Stokes equations A certain necessary condition of potential blow up for Navier-Stokes equations

2011-04-19

arxiv.org/abs/1104.3615v1

Mathematics

Analysis of PDEs

16 pages

Scientific paper

We show that a necessary condition for $T$ to be a potential blow up time is
$\lim\limits_{t\uparrow T}\|v(\cdot,t)\|_{L_3}=\infty$.

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