Global splitting, integrability and regularity of 3D Euler and Navier-Stokes equations for uniformly rotating fluids

A. Babin, A. Mahalov, B. Nicolaenko

Research output: Contribution to journalArticle

105 Scopus citations

Abstract

The dynamics of uniformly rotating fluids are described using 3D Euler and Navier-Stokes equations. Periodic boundary conditions are imposed and the ratio of domain periods is assumed to be generic. The 3D rotating turbulence is shown to decouple into phase turbulence and 2D turbulence for vertically averaged fields if the anisotropic Rossby number is small.

Original languageEnglish (US)
Pages (from-to)291-300
Number of pages10
JournalEuropean Journal of Mechanics, B/Fluids
Volume15
Issue number3
StatePublished - Jan 1 1996
Externally publishedYes

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)

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