We show that L3,∞-solutions to the three-dimensional Navier-Stokes equations near a curved smooth part of the boundary are Hölder continuous. The corresponding result near a planar part of the boundary was obtained earlier by G. Seregin. Bigliography: 22 titles.

Original languageEnglish
Pages (from-to)2924-2935
Number of pages12
JournalJournal of Mathematical Sciences
Volume143
Issue number2
DOIs
StatePublished - 1 May 2007

    Scopus subject areas

  • Statistics and Probability
  • Mathematics(all)
  • Applied Mathematics

ID: 35248318