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
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Sprache:	eng
Schlagworte:	Mathematics - Analysis of PDEs
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creator	Rusin, Walter Sverak, Vladimir
description	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_str_mv	10.48550/arxiv.0911.0500
format	Article
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title	Minimal initial data for potential Navier-Stokes singularities
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