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arxiv: 0911.0500 · v1 · submitted 2009-11-03 · 🧮 math.AP

Minimal initial data for potential Navier-Stokes singularities

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keywords datainitialminimalnavier-stokessingularityassumingequationslead
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Assuming some \dot H^{1/2} - initial data lead to a singularity for the 3d Navier-Stokes equations, we show that there are also initial data with the minimal \dot H^{1/2} - norm which will produce a singularity.

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