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.

中文翻译：

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海洋分层流动的波浪湍流理论

在加勒特和蒙克的开创性工作之后，海洋内部重力波的统计已成为海洋学研究的中心课题。海洋中内波光谱能量的时间演化可以用量子玻尔兹曼型的近共振波湍流方程来描述。在这项工作中，我们通过展示强解的全局存在性和唯一性，为该方程提供了第一个严格的数学研究。