On the wave turbulence theory for stratified flows in the ocean
Analysis of PDEs
2019-10-21 v3 Mathematical Physics
math.MP
Atmospheric and Oceanic Physics
Abstract
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.
Keywords
Cite
@article{arxiv.1709.08266,
title = {On the wave turbulence theory for stratified flows in the ocean},
author = {Irene M. Gamba and Leslie M. Smith and Minh-Binh Tran},
journal= {arXiv preprint arXiv:1709.08266},
year = {2019}
}