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

^*Corresponding author for this work

Department of Chemical and Biological Physics

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

6 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 language	English
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 https://doi.org/10.1017/jfm.2017.611
Publication status	Published - Nov 2017

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© © 2017 Cambridge University Press.

All Science Journal Classification (ASJC) codes

Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering

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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.",

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AU - Gelash, A. A.

AU - L'vov, V. S.

AU - Zakharov, V. E.

PY - 2017/11

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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.

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U2 - 10.1017/jfm.2017.611

DO - 10.1017/jfm.2017.611

M3 - Article

SN - 0022-1120

VL - 831

SP - 128

EP - 150

JO - Journal of Fluid Mechanics

JF - Journal of Fluid Mechanics

ER -

Complete Hamiltonian formalism for inertial waves in rotating fluids

Abstract

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All Science Journal Classification (ASJC) codes

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