Complete Hamiltonian formalism for inertial waves in rotating fluids

A. A. Gelash, V. S. L'Vov, Vladimir E Zakharov

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

A complete Hamiltonian formalism is suggested for inertial waves in rotating incompressible fluids. Resonance three-wave interaction processes - decay instability and confluence of two waves - are shown to play a key role in the weakly nonlinear dynamics and statistics of inertial waves in the rapid rotation case. Future applications of the Hamiltonian approach to inertial wave theory are investigated and discussed.

Original languageEnglish (US)
Pages (from-to)128-150
Number of pages23
JournalJournal of Fluid Mechanics
Volume831
DOIs
StatePublished - Nov 25 2017

Fingerprint

rotating fluids
Hamiltonians
formalism
Fluids
incompressible fluids
wave interaction
statistics
Statistics
decay

Keywords

  • Hamiltonian theory
  • nonlinear instability
  • rotating turbulence

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

Complete Hamiltonian formalism for inertial waves in rotating fluids. / Gelash, A. A.; L'Vov, V. S.; Zakharov, Vladimir E.

In: Journal of Fluid Mechanics, Vol. 831, 25.11.2017, p. 128-150.

Research output: Contribution to journalArticle

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