  After the pioneering work of Garrett and Munk, the statistics of oceanic
internal gravity waves has become a central subject of research in
oceanography. The time evolution of the spectral energy of internal waves in
the ocean can be described by a near-resonance wave turbulence equation, of
quantum Boltzmann type. In this work, we provide the first rigorous
mathematical study for the equation by showing the global existence and
uniqueness of strong solutions.
