English

Complete Hamiltonian formalism for inertial waves in rotating fluids

Fluid Dynamics 2017-11-22 v2

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.

Keywords

Cite

@article{arxiv.1604.07136,
  title  = {Complete Hamiltonian formalism for inertial waves in rotating fluids},
  author = {A. A. Gelash and V. S. L'vov and V. E. Zakharov},
  journal= {arXiv preprint arXiv:1604.07136},
  year   = {2017}
}

Comments

22 pages, 6 figures

R2 v1 2026-06-22T13:39:48.489Z