Global Regularity for an Inviscid Three-dimensional Slow Limiting Ocean Dynamics Model
Analysis of PDEs
2013-11-26 v1 Atmospheric and Oceanic Physics
Fluid Dynamics
Geophysics
Abstract
We establish, for smooth enough initial data, the global well-posedness (existence, uniqueness and continuous dependence on initial data) of solutions, for an inviscid three-dimensional {\it slow limiting ocean dynamics} model. This model was derived as a strong rotation limit of the rotating and stratified Boussinesg equations with periodic boundary conditions. To establish our results we utilize the tools developed for investigating the two-dimensional incompressible Euler equations and linear transport equations. Using a weaker formulation of the model we also show the global existence and uniqueness of solutions, for less regular initial data.
Cite
@article{arxiv.1311.6064,
title = {Global Regularity for an Inviscid Three-dimensional Slow Limiting Ocean Dynamics Model},
author = {Chongsheng Cao and Aseel Farhat and Edriss S. Titi},
journal= {arXiv preprint arXiv:1311.6064},
year = {2013}
}