Long time existence of classical solutions for the 3D incompressible rotating Euler equations

Ryo Takada

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

We consider the initial value problem of the 3D incompressible rotating Euler equations. We prove the long time existence of classical solutions for initial data in Hs(ℝ3) with s > 5/2. Also, we give an upper bound of the minimum speed of rotation for the long time existence when initial data belong to H7/2(ℝ3).

Original languageEnglish
Pages (from-to)579-608
Number of pages30
JournalJournal of the Mathematical Society of Japan
Volume68
Issue number2
DOIs
Publication statusPublished - 2016 Jan 1

Keywords

  • Long time existence
  • The 3D Euler equations
  • The Coriolis force

ASJC Scopus subject areas

  • Mathematics(all)

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