Minimal $L^3$-initial data for potential Navier-Stokes singularities

Mathematics – Analysis of PDEs

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14 pages

Scientific paper

We give a simple proof of the existence of initial data with minimal $L^3$
norm for potential Navier-Stokes singularities, recently established in
(arXiv:1012.0145v2) with techniques based on profile decomposition. Our method
is based on suitable splittings and energy methods.

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