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

Hao Jia; Vladim\'ir \v{S}ver\'ak

arxiv: 1201.1592 · v2 · pith:2WWSXLX6new · submitted 2012-01-08 · 🧮 math.AP

Minimal L³-initial data for potential Navier-Stokes singularities

Hao Jia , Vladim\'ir \v{S}ver\'ak This is my paper

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keywords datainitialminimalnavier-stokespotentialsingularitiesarxivdecomposition

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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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Minimal L³-initial data for potential Navier-Stokes singularities

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