Hamiltonian formalism and the Garrett-Munk spectrum of internal waves in the ocean

Details Hamiltonian formalism and the Garrett-Munk spectrum of internal waves in the ocean Hamiltonian formalism and the Garrett-Munk spectrum of internal waves in the ocean

2001-05-04

arxiv.org/abs/nlin/0105007v2

Physics Review Letters, 87, 168501, (2001)

Nonlinear Sciences

Chaotic Dynamics

4 pages latex file

Scientific paper

10.1103/PhysRevLett.87.168501

Wave turbulence formalism for long internal waves in a stratified fluid is developed, based on a natural Hamiltonian description. A kinetic equation appropriate for the description of spectral energy transfer is derived, and its self-similar stationary solution corresponding to a direct cascade of energy toward the short scales is found. This solution is very close to the high wavenumber limit of the Garrett-Munk spectrum of long internal waves in the ocean. In fact, a small modification of the Garrett-Munk formalism includes a spectrum consistent with the one predicted by wave turbulence.

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