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Title: On the wave turbulence theory for stratified flows in the ocean
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.  more » « less
Award ID(s):
1854453
NSF-PAR ID:
10137239
Author(s) / Creator(s):
; ;
Date Published:
Journal Name:
Mathematical models and methods in applied sciences
Volume:
30
Issue:
1
ISSN:
1793-6314
Page Range / eLocation ID:
105-137
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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