Minimal initial data for potential Navier-Stokes singularities

W. Rusin, Vladimir Sverak

Research output: Contribution to journalArticlepeer-review

38 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

Bibliographical note

Funding Information:
* Corresponding author. E-mail address: (V. Šverák). 1 Supported in part by the Graduate School Dissertation Fellowship. 2 Supported in part by NSF Grant DMS-0800908.


  • Minimal data
  • Navier-Stokes
  • Singularities


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