Complete Hamiltonian formalism for inertial waves in rotating fluids

A. A. Gelash; V. S. L'Vov; V. E. Zakharov

doi:10.1017/jfm.2017.611

Complete Hamiltonian formalism for inertial waves in rotating fluids

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

Mathematics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

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 language	English (US)
Pages (from-to)	128-150
Number of pages	23
Journal	Journal of Fluid Mechanics
Volume	831
DOIs	https://doi.org/10.1017/jfm.2017.611
State	Published - Nov 25 2017

Keywords

Hamiltonian theory
nonlinear instability
rotating turbulence

ASJC Scopus subject areas

Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering

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10.1017/jfm.2017.611

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title = "Complete Hamiltonian formalism for inertial waves in rotating fluids",

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.",

keywords = "Hamiltonian theory, nonlinear instability, rotating turbulence",

author = "Gelash, {A. A.} and L'Vov, {V. S.} and Zakharov, {V. E.}",

note = "Publisher Copyright: {\textcopyright} {\textcopyright} 2017 Cambridge University Press.",

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AU - Gelash, A. A.

AU - L'Vov, V. S.

AU - Zakharov, V. E.

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N2 - 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.

AB - 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.

KW - Hamiltonian theory

KW - nonlinear instability

KW - rotating turbulence

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ER -

Complete Hamiltonian formalism for inertial waves in rotating fluids

Abstract

Keywords

ASJC Scopus subject areas

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