Minimal initial data for potential Navier-Stokes singularities

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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Hauptverfasser: Rusin, Walter, Sverak, Vladimir
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
DOI:10.48550/arxiv.0911.0500