Minimal initial data for potential Navier-Stokes singularities

W. Rusin, Vladimir Sverak

Research output: Contribution to journalArticle

26 Scopus citations


Assuming some initial data u0∈Ḣ1/2(R3) lead to a singularity for the 3d Navier-Stokes equations, we show that there are also initial data with the minimal Ḣ1/2-norm which will produce a singularity.

Original languageEnglish (US)
Pages (from-to)879-891
Number of pages13
JournalJournal of Functional Analysis
Issue number3
StatePublished - Feb 15 2011


  • Minimal data
  • Navier-Stokes
  • Singularities

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