Inertial waves in rapidly rotating flows: A dynamical systems perspective

Juan Lopez, Francisco Marques

Research output: Contribution to journalReview article

1 Scopus citations

Abstract

An overview of recent developments in a wide variety of enclosed rapidly rotating flows is presented. Highlighted is the interplay between inertial waves, which have been predicted from linear inviscid considerations, and the viscous boundary layer dynamics which result from instabilities as the nonlinearities in the systems are increased. Further, even in the absence of boundary layer instabilities, nonlinearity in the system often leads to complicated interior flows due to subcritical instabilities, Eckhaus bands and heteroclinic dynamics. The ensuing spatio-temporally complex dynamics is analysed in terms of equivariant dynamical systems, providing a general perspective for the wide range of dynamics involved.

Original languageEnglish (US)
Article number124001
JournalPhysica Scripta
Volume91
Issue number12
DOIs
StatePublished - Nov 2 2016

Keywords

  • differentially rotating flow
  • dynamical systems
  • inertial waves

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Mathematical Physics
  • Condensed Matter Physics

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