Complete Hamiltonian formalism for inertial waves in rotating fluids
A. A. Gelash, V. S. L'vov, V. E. Zakharov
TL;DR
This paper develops a comprehensive Hamiltonian framework for inertial waves in rotating fluids, highlighting the importance of three-wave interactions in their nonlinear dynamics and potential future applications.
Contribution
It introduces a complete Hamiltonian formalism for inertial waves, emphasizing resonance interactions and exploring future research directions.
Findings
Resonance three-wave interactions are crucial in inertial wave dynamics.
Decay instability and wave confluence are key processes.
The formalism aids in understanding weakly nonlinear behavior.
Abstract
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.
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