On blow-up criteria of smooth solutions to the 3-D Euler equations in a bounded domain

Takayoshi Ogawa, Yasushi Taniuchi

Research output: Contribution to journalArticlepeer-review

29 Citations (Scopus)

Abstract

We show that a smooth solution of the 3-D Euler equations in a bounded domain breaks down, if and only if a certain norm of vorticity blows up at the same time. Here this norm is weaker than bmo-norm.

Original languageEnglish
Pages (from-to)39-63
Number of pages25
JournalJournal of Differential Equations
Volume190
Issue number1
DOIs
Publication statusPublished - 2003 May 1

Keywords

  • Blow-up of smooth solutions
  • bmo

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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