Complete Hamiltonian formalism for inertial waves in rotating fluids

Complete Hamiltonian formalism for inertial waves in rotating fluids

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...

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Veröffentlicht in:Journal of fluid mechanics 2017-11, Vol.831, p.128-150
Hauptverfasser: Gelash, A. A., L’vov, V. S., Zakharov, V. E.
Format: Artikel
Sprache:eng
Schlagworte:
Dynamics
Flow velocity
Fluid dynamics
Fluid flow
Fluid mechanics
Fluids
Formalism
Gravitational waves
Incompressible flow
Incompressible fluids
Inertial waves
Instability
Nonlinear dynamics
Nonlinear systems
Rotating fluids
Rotation
Stability
Statistical methods
Wave interaction
Waves
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Beschreibung
Zusammenfassung: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.
ISSN:0022-1120
1469-7645
DOI:10.1017/jfm.2017.611