On the wave turbulence theory for stratified flows in the ocean
On the wave turbulence theory for stratified flows in the ocean
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DOI：
10.1142/s0218202520500037
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发表时间：
2017-09
影响因子：
3.5
通讯作者：
I. Gamba;L. Smith;Minh-Binh Tran
中科院分区：
文献类型：
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作者：
I. Gamba;L. Smith;Minh-Binh Tran
自加勒特和蒙克开创性工作以来，海洋重力内波的统计已成为海洋学研究的中心课题。海洋内波的谱能量随时间的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，我们提供了第一个严格的数学研究方程的整体存在性和唯一性的强解。
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.