New sufficient conditions of local regularity for solutions to the Navier-Stokes equations

Alex Mahalov, B. Nicolaenko, G. Seregin

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

New sufficient conditions of local regularity for suitable weak solutions to the non-stationary three-dimensional Navier-Stokes equations are proved. They contain the celebrated Caffarelli-Kohn-Nirenberg theorem as a particular case.

Original languageEnglish (US)
Pages (from-to)106-125
Number of pages20
JournalJournal of Mathematical Fluid Mechanics
Volume10
Issue number1
DOIs
StatePublished - Mar 1 2008

Keywords

  • Local regularity
  • Navier-Stokes equations
  • Suitable weak solutions

ASJC Scopus subject areas

  • Mathematical Physics
  • Condensed Matter Physics
  • Computational Mathematics
  • Applied Mathematics

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