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arxiv: 1508.05313 · v1 · pith:3FCXMN7Pnew · submitted 2015-08-21 · 🧮 math.AP

A necessary condition of possible blowup for the Navier-Stokes system in half-space

classification 🧮 math.AP
keywords half-spacenavier-stokessystemtimeapproachesassumingblowblowup
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Assuming that ${T}$ is a potential blow up time for the Navier-Stokes system in half-space, we show that $L_{3}$-norm of the velocity field goes to $\infty$ as time t approaches $T$.

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