Rescalings at possible singularities of Navier-Stokes equations in half-space

G. Seregin, V. Šverák

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


The relationship is clarified between a possible blow-up for strong solutions of the initial boundary value problem for the incompressible Navier-Stokes equations in {x3 > 0}, and the Liouville theorem for mild bounded ancient solutions.

Original languageEnglish (US)
Pages (from-to)815-833
Number of pages19
JournalSt. Petersburg Mathematical Journal
Issue number5
StatePublished - 2014

Bibliographical note

Publisher Copyright:
© 2014 American Mathematical Society.


  • Blow-up
  • Incompressible Navier-Stokes equations
  • Mild bounded ancient solution


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