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Complete Hamiltonian formalism for inertial waves in rotating fluids

Published online by Cambridge University Press:  13 October 2017

A. A. Gelash Open the ORCID record for A. A. Gelash [Opens in a new window] ,
V. S. L’vov  and
V. E. Zakharov
A. A. Gelash*
Affiliation:
Novosibirsk State University, Novosibirsk, 630090, Russia Institute of Thermophysics, SB RAS, Novosibirsk, 630090, Russia
V. S. L’vov
Affiliation:
Department of Chemical Physics, The Weizmann Institute of Science, Rehovot, 76100, Israel
V. E. Zakharov
Affiliation:
Novosibirsk State University, Novosibirsk, 630090, Russia Department of Mathematics, University of Arizona, AZ 857201 Tucson, USA Lebedev Physical Institute, RAS, Moscow, 119991, Russia
*
†Email address for correspondence: agelash@gmail.com
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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.

JFM classification

Mathematical Foundations: Hamiltonian theory Instability: Nonlinear instability Turbulent Flows: Rotating turbulence
Type
Papers
Information
Journal of Fluid Mechanics , Volume 831 , 25 November 2017 , pp. 128 - 150
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Copyright
© 2017 Cambridge University Press 

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