Complete Hamiltonian formalism for inertial waves in rotating fluids

Complete Hamiltonian formalism is suggested for inertial waves in rotating incompressible fluid. 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...

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Bibliographic Details
Published inarXiv.org
Main Authors Gelash, A A, L'vov, V S, Zakharov, V E
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 04.05.2017
Subjects
Fluid dynamics
Fluid flow
Formalism
Incompressible flow
Incompressible fluids
Nonlinear dynamics
Physics - Fluid Dynamics
Rotating fluids
Rotation
Stability
Wave interaction
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Summary:Complete Hamiltonian formalism is suggested for inertial waves in rotating incompressible fluid. 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 in inertial wave theory are investigated and discussed.
ISSN:2331-8422
DOI:10.48550/arxiv.1604.07136