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physics.flu-dyn2026
Wave turbulence of inertia--gravity waves: a theory for the oceanic spectrum
Michal Shavit, Oliver Bühler, Jalal Shatah
We present a derivation using kinetic wave theory of the two-dimensional empirical Garrett--Munk spectrum for ocean internal waves, valid at all frequencies including near-inertial…
physics.flu-dyn2024
Turbulent spectrum of 2D internal gravity waves
Michal Shavit, Oliver Bühler, Jalal Shatah
We find the turbulent energy spectrum of weakly interacting 2D internal gravity waves using the full, non-hydrostatic dispersion relation. This spectrum is an exact solution of a r…
physics.flu-dyn2023
The role of sign indefinite invariants in shaping turbulent cascades
Michal Shavit, Oliver Bühler, Jalal Shatah
We highlight a non-canonical yet natural choice of variables for an efficient derivation of a kinetic equation for the energy density in non-isotropic systems, including internal g…